When I was attending UNA, I could always find a parking place somewhere. It wasn't always as close as I wanted, so sometimes, I did have to walk. Get to the campus before 7:30, and you'll have your choice of parking. Also, there is the parking deck down town, where UNA buses are running to and from continually.
The 4 rows of parking in front of BHG is by far not the only place for students to park.