What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2005 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Rice 20-14-2 58.8% -1.5 +1.2
Middle Tenn 24-17-0 58.5% 7.1 +2.5
Tulsa 25-18-0 58.1% 4.9 +1.9
S Mississippi 20-15-1 57.1% 11.4 +1.7
Houston 32-26-1 55.2% 15.0 +0.8
Charlotte 7-6-0 53.8% -0.9 -1.0
S Methodist 22-19-2 53.7% 2.1 +2.0
Central FL 27-25-0 51.9% 9.7 0.0
North Texas 19-18-0 51.3% 2.1 +1.6
Memphis 22-21-1 51.2% 9.4 +0.3
LA Tech 24-25-0 49.0% 5.3 -2.1
Marshall 21-22-2 48.8% 10.0 +1.6
TX El Paso 21-24-0 46.7% -0.9 +0.1
Fla Atlantic 20-24-0 45.5% -0.6 0.0
Tulane 20-24-1 45.5% -1.9 -1.7
Florida Intl 18-24-0 42.9% -2.1 -0.6
UAB 16-22-0 42.1% -0.0 -4.7
E Carolina 18-25-0 41.9% 0.3 -1.6
TX-San Ant 9-13-0 40.9% -0.5 -1.4
W Kentucky 14-24-0 36.8% 6.4 -3.6
Old Dominion 4-8-0 33.3% 1.8 -4.0