How about 8 divisions full of 8 teams? 1 crossover per other divisions and you play the corresponding team based on where you finished in your division. So the team that finished 5th in their division last year would play the 5 other teams that finished 5th in their division last year and so on for all the other 7 teams. Remove teams scheduling themselves.
14 game season. No division championships. Top 2 move on to playoff, plus the top 4 highest ranked at large for a 32 team bracket. Or I guess you could do top of each division plus 2 highest ranked at large for 16 teams.
I have solved CFB.
East Coast Conference (ECC) - Miami, UF, FSU, GTech, UGA, South Carolina, Clemson, Duke
Southeastern Conference (SEC)- LSU, Bama, Auburn, Ole Miss, Miss St, Vandy, Tennessee, Wake
Northeastern Conference (NEC) - Penn St, Pitt, WVU, Syracuse, Va Tech, UVA, UNC, NCSt
Mideast Conference (MEC) - Msu, Michigan, Ohio St, Cincy, Louisville, Kenutcky, Maryland, Rutgers
Midwest Conference (MWC) - Minnesota, Iowa, Wisconsin, Illinois, Notre Dame, Purdue, Indiana, Northwestern
Great Plains Conference (GPC) or Northwestern Conference (NWC) for symmetry - Colorado, Kansas, Kansas St, Nebraska, Mizzou, Oklahoma, Okie St, ISU
Southwest Conference (SWC) - TTech, Texas, A&M, TCU, Baylor, SMU, Arkansas, Houston
West Coast Conference (WCC) - Washington, Oregon, USC, UCLA, Utah, Arizona, ASU, BYU