I agree with George. Under $100/night - might even be able to negotiate a lower price? Never hurts to try.

That money can easily be made up with 1 less meal out or fewer drinks when out.

We've done the red eye a lot in the past from Boston and the only time I ever regretted doing it was the one time we didn't get a room. Even when we've only been in the room 4 hours, that sleep was well worth it!