Well there's 3 permanent games. Give NCSU the trifecta....Wake, UNC, Duke. As a matter of fact, there are 4 schools in North Carolina. Have them all play each other. Here would be my suggestions:
Miami -- FSU, VT, GT
FSU -- Miami, Clemson, Louisville
Wake -- UNC, Duke, NC State
NC State -- UNC, Duke, Wake
Duke -- UNC, NC State, Wake
UNC -- Wake, NC State, Duke
Clemson -- FSU, GT, UVA
GT -- Miami, Clemson, UVA
UVA -- Clemson, GT, VT
VT -- Miami, UVA, Pitt
Pitt -- VT, Syracuse, BC
Syracuse -- Pitt, BC, Louisville
BC -- Pitt, Syracuse, Louisville
Louisville -- Syracuse, BC, FSU
This is pretty logical both rivalry wise, keeping some division matchups that are currently being played intact, and geographically. Remember, you're going to be playing the other 10 teams a lot more frequently, so keeping your locked in 3 close to campus is probably pretty logical.