I'd venture a guess that it is very difficult to satisfy all of the following criteria, with 14 members and 9 conf games each:
- no more than two unbeatens possible - ie, need six conf games to be two separate round-robins
- remaining conf games (3) are a set of fixed rivalry games, played every year, including as many of the historical trophy games as possible
- every team plays every other team in the conference every X years (say, 4 to 6)
- no duplicate conference games in the regular season (champ game can be a rematch)
Something has to give. The second and third criteria are where the conflicts come in, given the constraints of the first and fourth criteria.
For me personally, the third one is the least important. If we never or very rarely play, say Rutgers, Penn St, Maryland ... I really will not care much at all.