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 +/-
W Kentucky 63-41-0 60.6% 0.8 +1.4
UCF 36-26-0 58.1% 0.3 +1.7
N Mex State 44-33-0 57.1% 3.1 +1.2
Houston 54-42-1 56.3% 6.5 +1.4
Memphis 61-49-1 55.5% 3.2 +0.1
LA Tech 33-27-0 55.0% 1.8 -0.5
Rice 31-26-3 54.4% -4.2 -0.4
North Texas 34-29-1 54.0% 1.4 +0.2
UTSA 23-20-1 53.5% -2.8 +0.8
Sam Hous St 28-26-1 51.9% 1.6 +0.9
TX El Paso 34-32-1 51.5% -0.7 -0.2
Florida Intl 19-18-1 51.4% -2.0 -0.3
Jksnville St 22-21-1 51.2% 1.2 +0.6
Marshall 27-26-1 50.9% -1.6 +0.9
E Carolina 26-26-2 50.0% -2.2 +2.6
Charlotte 32-32-0 50.0% -4.8 -2.2
Fla Atlantic 29-32-0 47.5% -0.6 -0.4
S Mississippi 33-37-2 47.1% -2.5 -1.3
Middle Tenn 38-43-2 46.9% -1.3 -0.3
Tulane 34-39-1 46.6% -4.9 -1.4
Liberty 27-32-0 45.8% -1.1 -1.2
UAB 36-47-0 43.4% -1.8 -1.5
Tulsa 32-43-1 42.7% -1.8 -1.3
S Methodist 23-39-1 37.1% -0.6 -2.8
Old Dominion 31-53-1 36.9% -2.1 -2.5