There is a town called
groton that has cheap 50-60/night hotels: Super 8, Howard Johnson's, Knight's Inn, etc. These hotels truly give you 60 dollars worth of hotel so watch out. For example, the Knight's Inn includes such amenities as soap and clock, but bring yr own shampoo....
Also, you can try the Bellissimo/Hilltop 'trick': show up at 3-4AM and say, "I got 80-100 one dollar bills, whadya have? and yes, I'd like late check out."