A beginning of year tournament with Ohio State, Xavier, Cincinnati, Dayton, Purdue, Illinois, West Virginia and UK. Play it in Chicago. The Midwest Challenge or something like that. Would be a hell of a tournament. Or you could replace 4 of those with 4 other smaller conference teams from the area that way the top 4 get an easier first game.
3 Big Ten teams in same tourney would probably make all 3 of them unlikely to do it. Same die X and UC. They already have a crosstown war.