Looking at bracketology, ESPN has us as one of the first four out with CMU and Buffalo in. College Sports Madness doesn't have us in, but they have not updated since 3/4. Realtime RPI has us in as an 11 seed, but don't specify whether it's an at large or auto. They also have CMU and Buffalo in. Miami is nowhere to be found on any.
I feel like a championship game appearance might be enough to get Ohio in because it likely would mean one more quality win against someone in the semifinals. By all accounts, Central Michigan looks like a lock. Buffalo is on the bubble too and probably in a little better shape than Ohio. With the loss to Ohio, Miami probably needs to win the MAC tourney to get in. Miami rated behind the other three after non-conference play and likely won't finish ahead of any of the others in MAC play. It'd be awesome if there was some scenario in which all four MAC teams could get in, but I think three is a best-case situation, and it's still possible that it's only one if Central wins the tournament.