Consider the Days Inn. It is about 3 miles to UNCA. Both the motel and UNCA are on 19/23.
Side benefit - Bellagio Bistro is very close to the hotel. We've *never* had a bad meal at Bellagio and it is inexpensive:
I worked at UNCA for 28 years so shout if I can answer any questions.
Edited: 9:41 am, September 19, 2013