They can’t.
They have less than no chance. They have a negative change.
Kansas is in a pickle. Nothing they do will affect UConn - most likely, they remain in a reconstituted Big 12.
The AAC was killing the basketball program. It kinda starts and ends there.
The AAC hammered men's hoops, soccer etc. Baseball prospered and the Olympics and non-low revenue sports spent a fortune.
But, there was no interest in UConn playing any of the AAC schools in football or basketball. Maybe Wichita State had a little juice, but mainly nothing. Fans didn't even come out to watch top 20 Houston program or UCF. They seriously didn't care in football.
For football, AAC's biggest issue is it is a good football league with absolutely zero appeal. For basketball, it was half decent teams and 6 abominable teams.
It absolutely annihilated UConn as a brand to be in there, much worse than I thought initially.
How nice is it to not worry. We don't have to get the let's get the table scraps. No one at UConn wants to get into a BIg 12 with Texas and Oklahoma. And TBH, fans would probably prefer current situation than even an invite to Big 12.