Your 9 teams look good to me. :) My scenerio was for the serious FB in the ACC to bolt, and the non BCS schools that you mentioned to to join. Also, while Navy IS a government school, they are not a state school in the same sense that the others are. Navy's academics are second to NONE! Their FB is Tobacco Rd.
If you change to name to Big Ivy (Big meaning 1A), then adding Army, Navy and some of the private BE schools like BC would work.
Army,BC,Duke,Navy,Rutgers (plays like a private college), Temple,Vandy,WF and maybe ND.
While ND fits academically, they do not fit FB.
Also, Baylor,Rice,SMU,TCU,Tulane,Tulsa and AF could make either a western division, or add Stanford for a SW Ivy Conference. They would chose a different name. How about Southwestern Academic Conference?
In that vein, the eastern schools could become the Atlantic Academic Conference (AAC), which is a take off on ACC, but which inadvertently points to their FB strength. ;) ;)