I also recommend using Priceline and checking out the options under Express Deals. They don't tell you the name of the hotel until you book, but it does give you the location, the star rating, the guest score, and the amenities. I just checked for July 21-23, and there are several 3 to 4-star hotels in your price range, all in the Times Square, Hell's Kitchen, and Bryant Park areas.
Updated On: 7/8/17 at 11:25 AM