I would drive in. Driving in, with a bit of preparation and research if you've never gone before, is fine. Also, it's Austin Peay, which no offense, isn't going to draw as big a crowd as the major games, so things will be lighter all around. Gives you a bit more wiggle room with respect to finding a solution.
Also, if parking close to campus feels intimidating, there's a number of satellite shuttle options. I want to say that KAT runs shuttles from some garage pickup points, for example, and I know for a fact that there are some companies that run shuttles from out-of-town locations onto campus. Again, it just takes a bit of research. I'm sure some others here can volunteer more information on places to park and make your way in.
Whatever you do, don't do Uber. Ubers going out of big events are a crapshoot all around. Ubers after football games with 100,000 fans leaving? Ugh. Just ugh.