Loyola Chicago seems like they would be a nice Big East fit. A Catholic private school in a big market with a good basketball program. DePaul would promptly veto it so it’ll never happen though.
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It is surprising that in a basketball rich city like Chicago, Loyola/Chi has gotten good lately, but hasn't really been much of a factor the last 40 years; DePaul was a powerhouse at one time, and they have been in the doldrums since it seems like forever. I think it is good for college basketball when a big market school does well in the tourney but for the Big East it would be better if it was DePaul, who know's maybe with a new coach?