I think if you went to 9 games you could get the votes need for 2 + 7/7. Otherwise it will likely be 4 + 4/4/4.
ACC games played 50+ times by team:
BC: SU (55)
Clemson: Wake (88), NC State (87), GA Tech (86), UNC (57), Duke (54)
Duke: UNC (102), Wake (98), GA Tech (90), NC State (83), UVA (70), Clemson (54)
FSU: Miami (65)
GA Tech: Duke (90), Clemson (86), UNC (57)
Louisville: None
Miami: FSU (65)
UNC: UVA (117), Wake (105), Duke (102), NC State (102), Clemson (57), GA Tech (57)
NC State: Wake (115), UNC (102), Clemson (87), Duke (83), UVA (56)
Pitt: SU (78)
SU: Pitt (78), BC (55)
UVA: UNC (117), VA Tech (98), Duke (70), NC State (56), Wake (50)
VA Tech: UVA (98)
Wake: NC State (115), UNC (105), Duke (98), Clemson (88), UVA (50)
Cal: Stanford (102)
SMU: None
Stanford: Cal (102)
This would require some creativity but why have everyone be equal in perm rivals? A school like Louisville really shouldn't have any. Why force yearly teams on them just because another school has 2 must play games? If the ACC protected every game played over 60 times...
BC
Yearly: None
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
Clemson
Yearly: Wake, NC State, GA Tech
1x in 3: UNC
1x in 3.67: Duke
Duke
Yearly: UNC, Wake, GA Tech, NC State, UVA
3x in 11 (every 3.67 years): everyone else
FSU
Yearly: Miami
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
GA Tech
Yearly: Duke, Clemson
1x in 3: UNC, NC State, Wake
Louisville
Yearly: None
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
Miami
Yearly: FSU
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
UNC
Yearly: UVA, Wake, Duke, NC State
1x in 3 (every 3 years): everyone else
NC State
Yearly: Wake, UNC, Clemson, Duke
1x in 3 (every 3 years): everyone else
Pitt
Yearly: SU
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
SU
Yearly: Pitt
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
UVA
Yearly: UNC, VA Tech, Duke
1x in 3: NC State, Wake
VA Tech
Yearly: UVA
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
Wake
Yearly: NC State, UNC, Duke, Clemson
1x in 3 (every 3 years): everyone else
Cal
Yearly: Stanford
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
SMU
Yearly: None
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
Stanford
Yearly: Cal
1x in 3: UNC, NC State, Wake
1x in 3.67: Duke
The rest of the games are rotated where they will be somewhere between every year and every 3 years. The more perm rivals you have and your opponent has, the closer it will be to 1x in 3. The less perms you have and the less your opponent has, the closer it will be to every year.
So for SU...
BC, Louisville, and SMU will be the closest to every year.
FSU, Miami, VA Tech, Cal, Stanford will be the next most often played games. Then GA Tech and UVA, followed by Clemson.
It is a PIA for a human to schedule but they have these computer things that could do it easily.