Or, add Navy and re-organize into 4 pods and re-align the divisions very 2 years - and still only require ND to play the divisional schedule and only count divisional games toward the conference record that determines CCG participants:

Pod A: ND, Navy, BC, Syracuse
Pod B: NC State, Wake, Pitt, VA Tech
Pod C: UNC, Duke, UVA, Georgia Tech
Pod D: FSU, Clemson, Louisville, Miami

I'm sure someone can do better with the pods, but you get the idea.