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 +/-
Rice 20-14-2 58.8% -2.4 +0.4
Charlotte 7-5-0 58.3% 0.4 +0.7
Tulsa 24-18-0 57.1% 5.2 +1.5
Middle Tenn 24-18-1 57.1% 6.8 +2.2
S Mississippi 20-16-1 55.6% 9.3 +0.3
Cincinnati 30-24-0 55.6% 9.9 +1.2
Houston 31-27-1 53.4% 14.5 +0.8
S Methodist 21-19-2 52.5% 0.2 +1.7
TX Christian 24-22-0 52.2% 20.0 +0.4
Central FL 26-24-0 52.0% 9.0 -0.6
Memphis 22-22-1 50.0% 9.5 -0.1
North Texas 18-18-0 50.0% 2.6 +1.2
Tulane 21-22-1 48.8% -1.2 -0.7
Army 21-23-1 47.7% 2.7 -0.6
Fla Atlantic 19-21-0 47.5% 0.3 +0.5
Louisville 24-27-0 47.1% 16.0 -0.9
Florida Intl 17-20-0 46.0% -1.1 +0.5
LA Tech 21-25-0 45.6% 5.4 -2.4
Marshall 20-24-2 45.5% 8.1 +0.3
TX El Paso 20-24-0 45.5% 1.3 +1.3
S Florida 25-30-1 45.5% 5.1 -4.1
UAB 16-21-0 43.2% -2.3 -5.3
E Carolina 16-25-0 39.0% -0.3 -2.5
W Kentucky 14-22-0 38.9% 6.6 -3.4
TX-San Ant 7-12-0 36.8% -1.0 -2.3
Old Dominion 4-8-0 33.3% 1.8 -4.0