IMO, The Big conference understands that football tv contracts supplies the income for all sports at the University. But income from research keeps the educational reason for the school's to exist.
Other than Iowa and Nebraska, sports fans have professional teams to route for, so they aren't as opinionated to college football as the SEC fans. (I am trying to be very diplomatic and no offense intended).
Anyway, to appease football fans and the University's in the Big my addiction for sports and research would be Washington, Stanford, Florida State and North Carolina.
After that just for tv value it would be Miami and Notre Dame.