What is every Sun Belt Conference team's record against the over/under line as an underdog since the 2005-2006 season?

Definitions
Team Over Record Over % Under % Total +/-
Florida Intl 145-112-3 56.4% 43.6% +1.7
New Orleans 72-59-1 55.0% 45.0% +0.9
Coastal Car 49-41-2 54.4% 45.6% +3.2
Denver 126-106-0 54.3% 45.7% +0.8
LA Lafayette 102-89-1 53.4% 46.6% +1.1
Arkansas St 120-111-2 51.9% 48.0% +1.4
S Alabama 113-111-1 50.4% 49.5% +0.4
Troy 135-134-2 50.2% 49.8% +0.5
App State 114-118-3 49.1% 50.9% +0.2
North Texas 96-102-5 48.5% 51.5% +2.2
GA Southern 106-116-1 47.8% 52.2% -0.1
W Kentucky 78-86-3 47.6% 52.4% +0.3
Texas State 54-60-2 47.4% 52.6% -0.2
AR Lit Rock 104-116-0 47.3% 52.7% -0.7
Georgia St 84-98-1 46.2% 53.8% +0.2
LA Monroe 126-148-7 46.0% 54.0% -0.7
Fla Atlantic 109-135-3 44.7% 55.3% -0.4
TX-Arlington 45-59-0 43.3% 56.7% -1.3
Middle Tenn 71-105-4 40.3% 59.7% -1.3