I'm going to start right here by saying this premise is so incredibly far-fetched that it almost doesn't bear writing about. I posted the other day about getting a bye in the Big East tournament to set up a 3-in-3 run like it was a pipe dream, and that's frankly still the most likely hope.
Just for grins, let's just lay out the best-case, non-auto bid scenario for Xavier and see where that lands them.
First, you've obviously gotta have X winning out in the regular season. That's wins over Nova and St. John's at home and St.