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 186-141-4 56.9% 43.1% +1.7
New Orleans 110-85-2 56.4% 43.6% +1.4
Denver 167-131-2 56.0% 44.0% +1.2
Louisiana 120-108-1 52.6% 47.4% +0.9
Coastal Car 82-76-1 51.9% 48.1% +2.1
James Mad 149-139-4 51.7% 48.3% +1.1
Texas St 84-79-4 51.5% 48.5% +0.2
Old Dominion 105-100-1 51.2% 48.8% +1.0
Troy 160-158-6 50.3% 49.7% +0.4
App State 140-139-6 50.2% 49.8% +0.1
North Texas 115-115-5 50.0% 50.0% +1.8
Marshall 120-124-3 49.2% 50.8% +0.7
AR Lit Rock 140-146-2 49.0% 51.1% +0.3
S Alabama 133-139-2 48.9% 51.1% +0.4
GA Southern 145-154-0 48.5% 51.5% -0.3
Arkansas St 141-151-5 48.3% 51.7% +0.8
Georgia St 107-115-2 48.2% 51.8% +0.5
Fla Atlantic 131-141-3 48.2% 51.8% +0.1
S Mississippi 142-154-4 48.0% 52.0% -0.4
W Kentucky 94-105-4 47.2% 52.8% -0.3
TX-Arlington 77-91-2 45.8% 54.2% -0.7
UL Monroe 160-191-10 45.6% 54.4% -0.7
Middle Tenn 107-131-5 45.0% 55.0% +0.4