If it’s a quasi Ivy League tier school conference. BI mentioned this the other week.
Spitballing...
East: Duke, UNC, Wake, UVA, Vanderbilt, Army, Navy, Georgia Tech
West: Stanford, Northwestern, Rice, Cal, USC, UCLA, ND, Air Force
As this is set up, 7 games you play in your group every year, 2 in other group that rotates home and away and then 3 out of conference.
I’m happy to switch out a few of these schools if need be. Tulane, Florida, or even BC could be alternates or added. You can add Hopkins for lacrosse. Perhaps add a few other schools that do not have Div 1 football, but do for other sports, like Georgetown, Nova, or William and Mary. I’m sure there are a few western schools that fit this as well.
If you really wanted to push it you could consider Texas, Wisconsin, or I guess Michigan (I like not including them as a kind of FU, but that’s me).
I’m sure there are different ways to set this up.