Typically, a hotel/motel will reserve a room at a low cost if you book it for a month. Call the sales dept. at some local stays, you just might find a place for hella cheap!
( Trick is to tell them that you only need housekeeping once a week, so the cost should be lower. Truck drivers typically have a rate of ~$20/night )
Most hotels today are willing to make a deal - as it is, the travel industry kinda sux right now.
Good luck!
-steveD