What is every Conference USA team's record against the point spread at neutral sites since the 2005-2006 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Central FL 34-21-0 61.8% 0.3 +2.1
W Kentucky 58-37-0 61.1% 0.8 +1.5
Rice 29-20-3 59.2% -3.1 +0.5
Houston 47-33-1 58.8% 6.1 +2.3
LA Tech 32-25-0 56.1% 2.3 -0.1
Memphis 56-45-1 55.5% 3.0 -0.3
Marshall 25-21-1 54.4% -1.2 +1.6
North Texas 27-23-1 54.0% 0.7 -0.6
TX-San Ant 22-19-1 53.7% -2.8 +0.8
TX El Paso 32-29-0 52.5% -0.8 -0.4
Florida Intl 16-15-1 51.6% -1.3 0.0
S Mississippi 33-32-2 50.8% -1.8 -0.3
Tulane 32-33-1 49.2% -4.7 -0.7
Charlotte 27-28-0 49.1% -5.8 -2.5
Middle Tenn 35-39-2 47.3% -0.6 +0.3
E Carolina 21-25-2 45.7% -2.2 +2.2
Tulsa 32-40-1 44.4% -1.4 -1.2
Fla Atlantic 17-26-0 39.5% -3.6 -1.9
UAB 28-44-0 38.9% -2.7 -2.1
Old Dominion 30-49-1 38.0% -1.4 -2.1
S Methodist 18-37-1 32.7% -0.4 -3.4