Rojo, you're seriously concerned about lack of hotels due to a UVA vs Duke football game? The last time either of these teams was relevant in football was...1991? (Seriously no idea when it was...I have to imagine for Duke it was when Steve Spurrier was the coach?). If that stadium is 3/4 full I'd be surprised...esp for a game that late in the season.
Hope it stays in C-Ville. It's a fun town. The campus is beautiful. You're close to a ton of great breweries and wineries. Arrive a day or two early, head out to the Shenandoah Mountains and Skyline Drive. Visit Monticello.
If you can't find a hotel, check out some of the local campgrounds. Nice cabins with heat and air.