What is every Conference USA team's record against the point spread coming off a loss since the 2004 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Cincinnati 37-27-0 57.8% 3.4 +1.5
LA Tech 50-37-0 57.5% 3.0 +2.4
Middle Tenn 49-39-0 55.7% 1.4 +1.5
Memphis 45-40-5 52.9% -2.0 +1.1
UAB 46-42-2 52.3% -5.1 -0.6
Louisville 37-34-1 52.1% 1.9 -2.8
Tulane 62-57-2 52.1% -8.2 +0.2
Tulsa 46-45-1 50.5% 2.0 +0.9
E Carolina 49-48-1 50.5% -3.5 +0.3
Army 54-53-0 50.5% -2.6 +0.9
S Methodist 51-51-2 50.0% -6.3 -0.2
Houston 36-36-0 50.0% 4.1 +0.2
S Florida 41-44-2 48.2% -3.6 -1.3
Marshall 39-42-6 48.1% 1.3 +1.4
Fla Atlantic 49-54-1 47.6% -7.2 -0.5
TX Christian 27-30-0 47.4% 7.5 +0.6
Rice 53-59-5 47.3% -10.0 -0.9
North Texas 53-62-0 46.1% -6.7 -0.4
S Mississippi 43-51-1 45.7% -0.3 -1.8
TX-San Ant 23-28-2 45.1% -9.1 -2.0
Charlotte 17-22-2 43.6% -11.4 -2.5
Florida Intl 44-58-3 43.1% -7.7 -1.4
Central FL 32-43-2 42.7% -1.5 -2.4
W Kentucky 32-44-0 42.1% -0.5 -1.6
TX El Paso 47-66-1 41.6% -7.5 -1.1
Old Dominion 13-25-0 34.2% -11.6 -3.3