There is a Microtel very close that has a shuttle. It is not a fancy place but decent and affordable, fills up quick. Otherwise I'd prob stay in Mystic and drive. Not usre if you are from the area, but Mohegan is not too far away from Foxwoods (about 20 minutes or so) so a lot of their hotels would work too if you dont mind driving. We once stayed at a very sceevy Motel 8 somewhere in the middle so be mindful that cheap might not be the best area.