lots of variables there. first remember WA is on Park ave, lol tends to be high rent district (as if all of manhattan isn't high) but pretty much any thing in midtown is going to be pricey. think Disney, you are paying for location.
2nd, "near" is also relative. Me, since my family lives in NYC I rarely get a hotel but when I do I love the village, soho, lower manhattan area. IMO those are still very easy to get to other parts of the city.
I like the hotel Beacon which is on 75th street (WA is around 52nd) and is about 275 depending on the season.
search booking.com they usually have a great selection.