I'm not going to say that football coaches are model members of society. Urban Meyer has skeletons but I'd be happy to hire him. You don't need bring in a guy that runs a program full of crime, and I know that's not the argument you're trying to make. I don't care about having a clean coach, shoot I like Chadwell and he's probably going to be fined by the NCAA for being unable to run a program himself.
There's a class of scandals in college football history that have documentaries about them or could and the Baylor scandal will eventually. Briles wasn't just ignorant there, he was involved in covering it up. Details are pretty gruesome.
Freeze's scandals at Ole Miss aren't really what I care about, I think they're kinda funny honestly. The guy's just a psychopath who can't let a single person say a bad thing about him. He's also surrounded himself with everyone involved in the baylor thing and has defended their actions on the record going so far as publicly confronting victims.
You can win with a lot of coaches but you don't need to hire either of these two. If you could, they would be coaching somewhere other than Liberty.