There are actually quite a few mental units/facilities here in Cincinnati, but my guess is that since he probably doesn't have insurance or $$ he would end up in the University of Cincinnati's Ridgeway unit.
Sorry, posted this while I was reading a few pages back and before the presser (and thanks inmyhumbleopinion for all the great posts about that, I missed it). This case and posts were going so fast it is hard to keep up! Glad to hear he is in jail where he belongs!