studly --
You're going to have to do a little research here.
As you probably know, hotel rates sometimes change daily, and the hotel that's cheapest one week may not be cheapest the next. Also, I don't know your budget. You may find that you can get a much better room for $10/night more than an 'ok' room. Is the $10 meaningful.
One other thing -- if you can go mid-week, there are usually much better deals than for weekends. I mean you may save $100 a night or more.
This being said, here are possibilities -- Hotel Ratings are subjective.
I've seen the following hotels often have deals that are great.
Top of the Line
Mandalay Bay -- especially midweek/winter -- This WON'T be the cheapest. They currently advertise rates as low as $110 a night. $120 for THEhotel, which if you can afford, may be the best room on the strip. While you're on their site check out their other properties.
First Class
Paris or Alladin
You Won't Be Sorry
Monte Carlo, Harrah's Bally
Older but still nice
Flamingo or (maybe Tropicana)
Now, once you reserve, if you want to save some money -- repeat this process every few days. Rates go up and down all the time, you may find your room gets cheaper, or one of the other properties drops their rates. I stayed at THEhotel with my wife (wasn't trying a budget vacation) and between the time I booked and when I came, room prices dropped $50/night on average (and had headed up again before we got there). I kept ratcheting down my cost and saved the money.
Final suggestion -- I've done this elsewhere, but never in Vegas --
www.priceline.com. You name a price, and they try to find you a room.
Whatever you do -- happy anniversary!!