What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2006 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Jksnville St 5-1-0 83.3% 17.2 +13.2
Liberty 11-6-1 64.7% 9.4 +0.6
Rice 24-17-0 58.5% 0.3 +1.3
Houston 35-28-1 55.6% 15.6 +1.0
Tulsa 32-26-0 55.2% 4.1 +1.0
Middle Tenn 27-22-0 55.1% 7.7 +2.3
Fla Atlantic 23-20-2 53.5% 5.6 +2.8
UCF 32-28-0 53.3% 11.4 +0.3
North Texas 24-21-0 53.3% 3.8 +2.0
S Methodist 26-24-2 52.0% 5.9 +1.5
LA Tech 28-26-0 51.9% 6.7 -0.4
TX El Paso 25-24-2 51.0% -2.0 +0.1
Tulane 27-26-0 50.9% 0.9 -1.2
S Mississippi 22-22-1 50.0% 8.4 +0.1
N Mex State 21-22-0 48.8% -4.2 +0.3
Marshall 25-27-3 48.1% 10.8 +1.1
Memphis 25-27-0 48.1% 9.7 +0.8
Charlotte 11-12-1 47.8% -4.5 -1.7
E Carolina 22-27-1 44.9% 3.2 -0.9
UAB 21-26-1 44.7% 1.2 -4.0
Old Dominion 8-10-0 44.4% 4.6 0.0
W Kentucky 21-28-0 42.9% 6.5 -3.5
UTSA 15-20-0 42.9% 2.2 -1.1
Florida Intl 20-29-1 40.8% -4.0 -1.6
Sam Hous St 0-2-0 0.0% -14.0 -16.3