Why not go whole hog on this by securing your league and essentially locking out the SEC? How about the ACC and Big XII combining while requiring ND to go all in? You would give the SEC with no other options but Louisville, Cincinnati, USF, etc.
You could have 4 six team conferences which play 5 divisional opponents and 2 from other divisions. The winners of each division would then have a 4 team playoff to get to the league championship game. This way, each team could still have the 8 league game schedule and play other teams out of the conference as they wish.
The divisions could be:
North Syracuse BC Virginia Virginia Tech UNC Duke
Southwest Texas Tech Baylor TCU Texas Oklahoma State Oklahoma
Midwest Notre Dame Iowa State Kansas State Pitt WVU Kansas