What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2007 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Rice 19-12-2 61.3% 0.1 +2.4
Tulsa 21-15-0 58.3% 6.0 +2.3
Middle Tenn 20-15-0 57.1% 8.7 +2.6
Charlotte 7-6-0 53.8% -0.9 -1.0
Houston 29-25-1 53.7% 15.4 +0.5
Central FL 25-22-0 53.2% 11.7 +0.9
S Methodist 20-18-2 52.6% 1.2 +1.4
S Mississippi 16-15-1 51.6% 10.7 +1.2
North Texas 18-17-0 51.4% 2.5 +1.8
Marshall 20-19-1 51.3% 11.5 +2.3
LA Tech 23-22-0 51.1% 6.9 -1.7
Tulane 20-20-0 50.0% -0.3 -0.4
Fla Atlantic 19-20-0 48.7% 1.8 +1.0
Memphis 19-20-1 48.7% 9.9 +0.2
TX El Paso 17-21-0 44.7% -2.8 +0.5
Florida Intl 16-22-0 42.1% -0.8 -0.3
UAB 14-20-0 41.2% 0.1 -5.2
TX-San Ant 9-13-0 40.9% -0.5 -1.4
E Carolina 16-24-0 40.0% 1.1 -1.6
W Kentucky 14-24-0 36.8% 6.4 -3.6
Old Dominion 4-8-0 33.3% 1.8 -4.0