What is every Conference USA team's record against the point spread with fewer days of rest than the opponent since the 2004 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Liberty 18-7-0 72.0% -3.3 +6.8
Rice 28-13-1 68.3% -0.8 +5.6
Jksnville St 10-6-0 62.5% -16.4 +8.1
W Kentucky 20-14-1 58.8% 3.4 +3.3
Middle Tenn 21-17-1 55.3% -3.3 +0.4
Louisville 25-23-0 52.1% 5.8 +2.6
N Mex State 25-23-1 52.1% -13.9 -1.8
Houston 26-24-0 52.0% 3.9 +1.1
UAB 15-14-0 51.7% -3.8 -1.1
TX Christian 18-17-0 51.4% 10.2 +3.5
North Texas 19-18-0 51.4% -7.3 -0.4
Tulane 21-20-0 51.2% -11.5 -2.8
S Florida 25-25-1 50.0% 1.9 +0.7
Fla Atlantic 25-27-0 48.1% -3.0 -0.9
S Methodist 23-25-0 47.9% -5.7 -0.9
S Mississippi 24-27-0 47.1% -2.7 -1.0
Marshall 19-22-1 46.3% -0.5 -0.3
Cincinnati 25-29-1 46.3% 4.0 +0.3
E Carolina 23-27-0 46.0% -3.1 0.0
Sam Hous St 5-6-1 45.5% -28.6 -0.5
UTSA 9-11-0 45.0% -1.3 -0.5
Army 17-22-0 43.6% -2.8 +0.4
LA Tech 15-20-1 42.9% -3.3 -0.2
Tulsa 17-24-0 41.5% 3.7 +0.8
Florida Intl 17-24-1 41.5% -10.0 -2.7
UCF 19-28-2 40.4% 2.1 -2.4
Old Dominion 7-12-0 36.8% -14.4 -6.6
Charlotte 4-7-0 36.4% -15.4 -8.2
TX El Paso 10-20-0 33.3% -12.6 -4.0
Memphis 12-29-4 29.3% -3.4 -3.1