FWIW...I made this post on the Bradley board as it relates to Belmont. They would be my first choice but I would understand why they wouldn't want to make the move.
Belmont finished first in the OVC in both men's and women's basketball this past season. Baseball team is pretty good. Volleyball finished 4th in the OVC. Their men's soccer team actually plays in the Horizon League as OVC doesn't have men's soccer.
I can see why Belmont wouldn't do it. I understand the travel costs concerns for current MVC members. Drive time to Nashville from the current MVC cities and then Wichita:
Evansville: 2.5 hours / 9 hours - 6.5 hours closer
Carbondale: 3 hours / 8 hours - 5 hours closer
Terre Haute: 4 hours / 9 hours - 5 hours closer
Blo/No: 6 hours / 8.5 hours - 2.5 hours closer
Peoria: 6.5 hours / 8.5 hours - 2 hours closer
Springfield: 7 hours / 4 hours - 3 hours further
Chicago: 7.5 hours / 10.5 hours - 3 hours closer
Des Moines: 9.5 hours / 5.5 hours - 4 hours further
Cedar Falls: 9.5 hours / 7.5 hours - 2 hours further
Belmont would actually be less of an outlier for everyone (except MSU and the two Iowa schools) than Wichita. Right now the furthest trip in the OVC for Belmont is to EIU (5 hours). It's 4.5 to SIUE. Everything else is under four hours and many schools under two hours. Does Belmont want to give that up? I would be surprised if they do.
Addition: It would be a CLEAR upgrade for MBB for Belmont. The Ken Pom for the nine non Wichita teams was 158. The best NON-Belmont team in the OVC was 158. The average of the other 11 was 228.