If a Big 12 invite comes calling, I would take it in a heartbeat. The ACC will not invite us unless they concoct some weird three-division setup; therefore, they will stay with two divisions so they would need to bring a partner with us, bringing the total in basketball to 17. The B1G currently is out of reach because we don't have a partner (maybe Kansas in the future) to go with us.
Here is why we should take the Big 12 invite: if no more conference realignment happens (for at least a decade) after the Big 12 goes to 12, we just received the last two seats on the life rafts.
Even if Texas, Oklahoma, and Kansas decide to leave for greener pastures (and we're not involved), the conference we will be in would still possibly be a P5, and it would still be better than the American.