You would probably get better response posting this question on the Regional Board in your area. Some AMP's post ads on the Regional Boards, Eros, Cityvibe, Yellow Pages, local City Paper, etc., etc.
AMPs certainly do not have a lock on LE activity.
Sign up for a VIP account... it's worth it! Then go search under Massage Parlor Girls. Same thing as searching for providers. You'll run the gamut from FS to just rubdowns.
Good luck. Feel free to PM me if you're in NY. I got 2 regular reliable joints.
The only time I've ever even come close to LE trouble was at an AMP. No, they don't have an exclusive on trouble but the odds are much higher that you will have a problem. AMPS are on LE radar in a big way right now for reasons beyond prostitution. Most AMP girls are illegal and many are being held against their will and forced to work-off a "debt" by engaging in prostitution. You wanna roll the dice for a quick HJ/BJ from a girl who is doing guys all day long? Be my guest. I'll pass.