I would eliminate cross divisions.
Next, break conference as follows:
3a-GT, Clem, Lou
3b-Pitt, Syr, BC
4a-VT,Uva, FSU, Miami
4b-unc, ncst, wake, duke
Each year the ‘division’ changes. Even years, 4a+3a. Odd years 4a+3b. Only ‘division’ games count towards the championship. Cross over games are 3a plays 2 teams from 3b. Same for 4a/b.
That is 8 conference games and no more than a 1 year gap playing conference opponents.
In state schools play every year. We get screwed by always having Clem in our ‘division’. Duke series gets interrupted.