FSU, GT, Clemson, Louisville
ND, UVA, VT, Pitt
Miami, UConn, BC, Syracuse
Wake, UNC, NC State, Duke
The cross division rivals are in vertical orders (i.e. FSU,ND, Miami, Waks) (i.e. GT, UVA, UConn, UNC). If ND isn't coming, make a run at WVU for the UVA division instead of ND. They are already rivals with Pitt and VT, and they do not fit the Big XII. We'll just have to hold our nose.
You go to a 9 game schedule playing the three in your division, 4 in another division, and the other 2 designated rivals each year. If only 8 games then you rotate the extra designated rivals.
Some obstacles are 1) what happens with ND, 2) what happens with FSU, GT, Clemson, and Louisville who have annual non-conference SEC rivals.