Keep looking. They come in cycles. Over the summer I had a handful that seemed to ignore I was married and then suddenly had the revelation that my profile said I was married. Just had a first date with a beautiful Latina SB who didn’t care I was married.

Some SBs refuse to date a married guy, even after I explain my wife knows all about my dating and gives her permission, they still refuse.  It's just a mental barrier they have up.  Others don't care at all.  But most of my dates have mixed feelings about enabling a guy to cheat, so they are relieved and happy when I tell them my wife approves.

A married guy is going to be less available with his time or money.  So even if they don't have an ethical object they may have a financial objection.

That said, I'm finding that many of the women are in deep financial straits and will quickly abandon objections in order to get some cash.

Alright, you can be married and still bang hookers and definitely have sugar babies, but why be so honest? And if you do have moral codes of conduct then you should just stay home with your wife

At least to begin with, I suggest mentioning "Separated" as your status so you don't get the automatic exclusion from the SB POT. You can even mention you have a child and have joint custody so it gives you an excuse to not spend nights with her or walk out of an arrangement.

Of course, there will always be pros to being single in sugar world cause most SBs have higher availability in weekends and nights when most married guys can't sneak out.

Best of luck, you will figure it out.

... with SB's that have kids.  
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Many SD's, including me are reluctant to take on an SB with kids. This is especially true with younger kids, say under 14.
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Why? A single mother will (and must!) always prioritize their lives around their kids.  That means at best, you come second (pun intended) and that you are quite likely to get sugar requests for kid stuff, kid emergencies and kid help well beyond the anticipated spend you budget for a single SB.  It also means in the unfortunate event you accidentally knock her up she will almost certainly have the kid - at then you are on the hook for 18+ years of mandatory, legally required Daddy Sugar!  
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It's generally not as big a concern when the kids are older (18+) but for your SB to have an 18-year old she is most likely over 30 herself. That's well over my desired SB age range of 18-28, although there are many on the boards who have good success and satisfaction with 30+ year old SB's.  
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Note that I am not anti-kid! I love kids and believe that a parents' most important job is to raise their children to be positive contributors to the world.  I'm just not willing pay for some other guy's kids.

messages from women who vehemently objected. Often younger, college aged, but older ones too.  

And others who didn't care, of course. For lots of different reasons.  

I want to be honest. Especially now that I am out of the marital home, lol.  

         *** Feel it might be the time to add that my use of SA is what really got out of the house. Permanently, I mean. It's one thing to monger as a married man, but the sugar bowl presents many, entirely new details and issues to hurdle, and one day I didn't do that very well. Months later, a second screw up was it.  

Have to agree about those with kids under 14 or so, especially. Just not worth it, I don't think. Never worked out for me, with the one I did date over some time, and at least two others who never got off the ground with.

I wish SA would filter who you see and who sees you based on preferences

Nothing more annoying than seeing a hottie, reading a fascinating profile and then NO MARRIED MEN at the end.

Ive had a couple that were pretty well on the hook and ultimately bailed citing moral issues.  Both were children of ugly divorces and did not want to contribute to the delinquency of a marriage

Very important for me to be 100% clear on my status.  When the phone rings, she needs to know to STFU, not go flush the   toilet or do anything else that might raise suspicions.

My last SB was a divorced MILF whose marriage ended because SHE cheated, so she understood when I had to bolt from the bar to a quiet room to take the "good night" call from home.

My profile says I’m married.  I’ll tell them during discussions too.  I’ve had very few have a problem with it.  I just signed a new young 21 y/o up.  Pre med student, well spoken, good hobbies etc.   Her response when she found out was “I feel like a dirty mistress”,.... “if I ever want to back out are you ok?”  I said sure.  Well during our first encounter and after her 3rd “O”, I asked if it was a problem. She said, “you’re the best fuck I’ve ever had, no problem!”  Experience wins, moral compass loses.  I’m just glad she must not have had too many guys before me.

From an ethical standpoint, I'm honest, because I simply choose to be. There'a a complex line of thought behind that, but ultimately, it's just what I choose.

From a practical standpoint, it simplifies matters in that I don't have to invent lots of stories with the SBs and keep it all straight. And that gets really complex when you're talking to 5 or 6 of them! So, I find the truth is what I want, and it's simpler.

The other practical POV is that I find that something like 20% of the SBs care, and 80% absolutely do not. SBs, at least many of them, are already juggling the cognitive dissonance of somehow being "very different" than providers, so I haven't found that added mental gymnastics of making "married but looking" SDs okay bothers them very often.

In fact, some of them are relieved to hear that I'm married and have limited SB time, because they want short term, NSA, and while we seem to have BCD fun, I think they're also quite happy to leave it at that. And, I know for a fact that a lot of the SBs I see have their own "rotation", so the simplicity of a married guy who won't/can't demand to much time is a real plus.

And then I explain that things are hot and cold with the wife and that I’m trying for an open marriage and have even sent the wife on vacations with her single friends to encourage extramarital sex, which is all true.  A few don’t like the fact that I’m married. Most don’t care. I do get better initial responses by saying separated vs married.  

I like having marriage as an excuse to not take things too far with these girls and it definitely makes things easier when they understand why we need to be discreet and why they can’t move in with me. I think as long as I don’t try to keep them from sleeping with others, most understand.

when I said I was separated. You are married and I can tell. This was during the first F2F. I denied it at first but she said I don't care. That was refreshing.
Next time I get back on SA, I will say married but looking and see what hits I get.

A POT recently sent me an unsolicited message: "I’ve never been with a married man but I find the idea fun and exciting " We haven't met yet but she seems promising. On the whole, being married has limited my options in the sugar bowl very little, and in several cases probably enhanced my opportunities.

Actually being married is social proof (not much, but some.)

There are SB's that don't want to get involved with married men.  But those who are more interested in the cash aspects of it are pretty willing.  They might have BFs or husbands on the side.

I am upfront that I am married, and they generally are too. Some of my best experiences in the sugar bowl have been with unhappily-married women, usually in their late 20s or early 30s. They are generally more fun in bed and more relaxed about sex than the typical college-girl SBs. We generally leave our rings on and pretend that we are married to each other in hotels and restaurants.