What is the "action" you wish to be near.  Are you interested in gaming, shopping, dining or just taking in sites?  

Hotel rooms can be had for under $200 on the strip near the center.  Sometimes the best hotel rooms in town can be had for that figure.

Providers will come to see you at most any hotel on the strip.  Some dated, smoke smelling properties will be avoided.  None of those are on the strip.

If you want lady recommendations, give me some specifics and I can make recommendations.

Also remember the following:
Prostitution is illegal in Clark County.
LE can and does run stings against hobbyists and providers with the cooperation of the hotels.
Stick with well established providers and be discreet.
There is a list of hotels and their security protocols that can be found on the Las Vegas Board

I'd recommend Bally's, Treasure Island, and Planet Hollywood for their location in the middle of the Strip.  Walk out their front door, and you are in the middle of the action, scenery, and tourist sites.  Elevator security is pretty lax too. My GFE recommendation is my ATF, Ms. LaRue McCay.

Most people have mentioned some of the non-monger fun-stuff but I would add, since you have a car, I would make a trip to Red Rock, nice drive during the day. Though you'll probably see some similar sights on the rest of your sojourn.

I would look for online deals on most of the hotels on the strip. Depending on what is going on you can find some real deals. The working ladies usually don't have make a big deal about hotels as long as they aren't motels. Keep in mind that many have security at the elevators so you will need to escort the escort. (or meet somewhere on the property to hand over a key.)

As far as GFE, use the search function to narrow it down, there are many options.

Thank you everyone for your great ideas!! Vegas is an important part of the trip and B List but I thought I'd fill you all in on the complete plan.
Since I'm driving all the way from Minneapolis, I'm catching Zion (and quite a few other goodies, Arches National Park, Capitol Reef National Park and Bryce Canyon National Park.) on the more northerly leg of my drive down to Vegas. After a long jaunt on the interstate and a good rest, I'm going to run 2 lane blacktop from Grand Junction, CO to Hurricane, UT. I am retracing a route I took many moons ago in a sold Italian sports car I was delivering to a customer in LA at speeds.... well let’s just say well over the speed limit on very long straight roads in Utah. I want to see what a car I actually own might top out at! LOL. My route after leaving Vegas includes all the natural wonders to the east, the Dam, Grand Canyon (I'll take the day train from Williams AZ to the south rim and back) then a day or two wondering up through and around Monument Valley, back down through the four corners area to Shiprock, NM and on to Taos. Some of the nights I hope to plant myself under the stars so wish me luck on March weather. After that I will be skirting Santa Fe and easing out on to the flat lands of the TX, OK panhandles to do a zig zag pattern across Kansas on two lane roads through the heart of America, I’m looking forward to small town diners with great pie ! Only then will I meet back up with the interstate somewhere near Lincoln Nebraska and the last leg home. Maybe you can tell, I've been thinking about this for quite some time  
Keep the ideas and suggestions coming, nothing is etched in stone ! Do I hear any ladies asking to ride along ? :-