You'll be very lucky to find day use rooms outside of big cities, purely because of the numbers. Day use rooms are because of surplus to requirements at large chains hotels.
I'd just book a cheap Travelodge and use it for how ever long you need it for, then give the keycard back. I've done this loads of times in the past outside of London. Booked a room, bang, drop the key back and off you go. I've never needed ID at Travelodge, just an online booking ref, pre-paid. Although things could've changed since.