The payout for the Holiday Bowl is $6.5M. The payout for the Alamo Bowl is $8.25M.
So the question becomes whether the Big 12 would prefer its teams not play each other in a bowl game and potentially cost itself nearly $2M in bowl revenue.
You'd probably end up with a lineup like this:
Alamo: BYU vs Washington State
Holiday: Colorado vs Clemson
Texas: Texas Tech vs Texas A&M
Pop-Tarts: Iowa State vs Miami
Liberty: Kansas State vs Oklahoma
Rate: Baylor vs Rutgers
Independence: West Virginia vs Army