Unfortunately, especially in response to Jimdish255's post, what you're hoping for is some kind of magical, catch lightning in a jar, kind of hire.
I just don't think you'll actually find that in a tiny, tiny sample size of a couple games in one NCAA tournament, that you'll discover the next great coach that wasn't already on people's radar. You'll get much further looking at someone's body of work as coach, over multiple seasons, and even multiple schools, including recruiting, than just someone who gets their team on one good run for a couple games. You're destined for heartbreak if you go that route.