It's interesting that the real hang up is about using a "high school facility," rather than a "college facility." The reality of the world is that many "college facilities" are no better.
UC could have signed a contract with Thomas More College, but here's their "Convocation Center."
I don't think that would be substantively any better, but you get to say it is a "college facility." I don't see the point of that.
The same could be said for Cincinnati State's gym.