Here what little I know about the subject. I visited the BYU message board for a while back when UCONN announced that they were leaving the AAC because I wanted to get a feel as to how the BYU fans who were posting felt about joining the conference. While there were some who found the idea attractive, most felt like it would be a bad idea for one reason or another. One person posted a survey on the board that asked "Do you live within 500 miles of any AAC campus?" Less than 20% answered yes.
That was a while back and things can change. Also, I was only monitoring their board for about a week, so its a small sample size, but back then there was not overwhelming support for AAC membership.