RPI is what matters. The American was 8th-rated in Conference RPI. Next year, we lose Louisville (18) and Rutgers (196), while adding Tulsa (72), East Carolina, (217), and Tulane (223).
Welcome, to Mid-majorville.
To upgrade conference affiliation, the most realistic option for UC is to separate football from all other athletic operations. A package deal with UConn, Memphis, or both would make them even more enticing to either the Big East or Atlantic 10.
The Big East is fourth in Conference RPI. Adding UC (19) and UConn (23) would increase the league to 12 teams and most likely move the conference into the top three, or even the top two. Both are terrific logistical fits with history in the conference.
The key to this move would be hiring the most gifted PR person in college athletics to repair relationships with the Catholic Seven. Not impossible, because this move would make sense for the Big East and improve its negotiating leverage in future media contracts. In addition, UC and UConn would probably have to agree to huge buyouts in the (unlikely) event that the ACC or another power conference comes calling.
Before you laugh at the A-10 suggestion (currently 6th RPI), with UC and UConn (or Memphis) this conference would be quite competitive and most likely a top-four or five RPI conference.
This is just a lateral move. At this point, unless we are moving into a power conference, there is no point in changing conferences. Cincinnati, Connecticut, and Memphis can carry this group as far as basketball goes.