I'm also confused. You're leaving at 8 pm Thursday night, which is earlier than your leaving at 3 am Friday morning, yet you're driving straight through. You were originally staying at ASMU starting Saturday. Now, it's Friday.
What I'd do (and I think this will save money). Leave at 8 pm. Stop somewhere south of Cincinnati around midnight or 1 am (from Ft. Mitchell all the way to Lexington would be fine...keep in mind, there is about 30 miles of nothing from Dry Ridge to Georgetown). Leave your hotel about 9 am, and drive as far as Northern Florida (I think you can make that by about 10 pm). Leave your hotel again about 8 or 9 am, and you'll make ASMU by noon.
I know that's two nights in a motel room. However, two nights in a decent motel room would probably be as cheap as one night at ASMU.