Here's the list:
ACC
Chik Fil A Bowl
Champs Sports Bowl
Sun Bowl
Belk Bowl
Music City
Independence
Military
Big East
Sun Bowl
Champs Sports Bowl
Belk Bowl
Pinstripe Bowl
Compass
Beef O'Brady
So we have three bowls in common (Sun for BE #2, ACC #4). Chik Fil A is better than any of the BE bowls. The Music City, and Independence are both "good" bowls in my estimation, in awful locations. Memphis and Shreveport are not great locales for bowl games in late December, although I will say Memphis is lovely other parts of the year.
I do hope the Pinstripe changes affiliation to the ACC as I think that is a cool bowl, and a place for SU, BC, Pitt, to land. I also don't think that's a bowl that will fail -- not when backed in part by the Yankees.
Overall not a huge difference, but the top is a bit better in the ACC than in the BE.