Search "Tallahassee" and you should come up with over 30 listings for hotels/motels. It isn't so big city that things are way spread out...but the good routes to the game thru town have heavy traffic if you don't get to campus real early...and if you don't park/tailgate with a group at a known lot, you'll probably end up parking on a broken sidewalk or beside a run-down auto parts store somewhere.
If places to stay overnight in Tally are full for the game weekend, check in Bainbridge, Cairo, and Thomasville for places like Hampton Inn, Holiday Inn, etc.