I had to check, UNC did get to an elite 8 this decade as well as a couple sweet 16s. They tend to play to their seed/unseed as it seems. Keep in mind, the ACC rarely sniffs a FF (Fla St. in 2011 was the only appearance). As many as the Sun Belt (UT Arlington)
Early season trivia: FF appearances (counting current members, thus no separate Big 8/XII etc)
Pac 12: 51 (Stan 21, UCLA 12, USC 10, UW 4, Cal 2, AZ 1, UO 1)
BIG: 41 (N 14, PSU 13, Minn 5, Ill 3, OSU 2, UW 2, MSU 1, Mich 1)
Big West: 17 (Hawaii 9, LBSU 8)
XII: 13 (UT 12, KU 1)
SEC: 11 (Fla 8, LSU 2, Tenn 1)
West Coast: 10 (Pacific 7, BYU 2, Santa Clara 1)
MTN West: 3 (SDSU 2, SJSU 1)
Sun Belt: 1 (UT-Arlington)
ACC: 1 (FSU)