You know who I would call in the Big East? Shaka Smart. It's hard to get numbers on his contract, but if they are in the 2-3 million range, which I've seen some suggest, the Gophers can offer more.
No matter how much success Marquette has, those coaches always leave for bigger conference jobs. It's still close to home, and expectations are extremely low here, unlike at Texas. He's very similar to PJ, and Coyle would give him the keys and let him do it his way.
It's a long shot, but I think it's a more reasonable long shot than some of the other coaches mentioned if the Gophers want to get serious about basketball again.