What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2008 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Rice 16-11-2 59.3% 0.8 +1.4
Middle Tenn 19-14-0 57.6% 9.4 +2.0
Tulsa 19-15-0 55.9% 4.7 +0.6
S Methodist 20-17-2 54.0% 1.7 +1.7
Charlotte 7-6-0 53.8% -0.9 -1.0
Houston 28-25-1 52.8% 14.6 +0.4
LA Tech 22-20-0 52.4% 8.3 -1.0
S Mississippi 16-15-1 51.6% 10.4 +1.2
Marshall 19-18-0 51.3% 14.1 +2.9
Memphis 19-18-1 51.3% 10.9 +1.1
Tulane 20-19-0 51.3% 0.0 -0.1
Central FL 23-22-0 51.1% 11.9 +0.2
North Texas 16-16-0 50.0% 3.9 +2.0
Fla Atlantic 18-19-0 48.6% 1.6 +1.2
Florida Intl 16-20-0 44.4% -0.2 -0.1
TX El Paso 15-21-0 41.7% -3.6 +0.2
TX-San Ant 9-13-0 40.9% -0.5 -1.4
UAB 12-19-0 38.7% 0.9 -6.2
E Carolina 15-24-0 38.5% 0.6 -1.9
W Kentucky 14-24-0 36.8% 2.8 -3.6
Old Dominion 4-8-0 33.3% 1.8 -4.0