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

Definitions
Team ATS Record Cover % MOV ATS +/-
Tulsa 25-18-0 58.1% 5.7 +1.9
Rice 20-15-2 57.1% -2.5 +0.1
Middle Tenn 24-18-1 57.1% 6.8 +2.2
S Mississippi 21-17-1 55.3% 9.5 +0.7
Charlotte 7-6-0 53.8% -0.9 -1.0
Cincinnati 31-27-0 53.4% 10.4 +1.3
Houston 32-28-1 53.3% 14.0 +0.5
TX Christian 25-22-0 53.2% 19.6 +0.4
S Methodist 22-20-2 52.4% 1.1 +1.6
Central FL 27-26-0 50.9% 9.0 -0.7
Memphis 23-23-1 50.0% 9.9 +0.1
North Texas 20-20-0 50.0% 1.8 +0.9
Army 24-24-1 50.0% 4.3 -0.6
Louisville 26-27-0 49.1% 15.7 -0.2
Tulane 23-24-1 48.9% -1.3 -0.7
LA Tech 24-26-0 48.0% 5.0 -2.2
S Florida 27-30-1 47.4% 5.2 -3.6
TX El Paso 23-26-0 46.9% 0.7 +1.1
Marshall 21-25-2 45.6% 8.8 +0.7
Fla Atlantic 20-24-0 45.5% -0.6 0.0
Florida Intl 18-24-0 42.9% -2.1 -0.6
E Carolina 19-26-0 42.2% -0.7 -1.8
TX-San Ant 9-13-0 40.9% -0.5 -1.4
UAB 17-25-0 40.5% -0.9 -5.1
W Kentucky 14-24-0 36.8% 6.4 -3.6
Old Dominion 4-8-0 33.3% 1.8 -4.0