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

Definitions
Team ATS Record Cover % MOV ATS +/-
Liberty 18-7-0 72.0% -0.4 +6.8
Rice 25-12-1 67.6% 0.1 +5.7
Jksnville St 10-6-0 62.5% -16.9 +8.1
W Kentucky 20-14-1 58.8% 4.8 +3.3
N Mex State 24-18-1 57.1% -13.1 -0.6
Middle Tenn 19-15-1 55.9% -4.2 +0.8
Houston 24-20-0 54.6% 6.7 +2.1
Tulane 20-18-0 52.6% -11.3 -3.0
UAB 14-13-0 51.9% -3.8 -0.1
North Texas 16-16-0 50.0% -7.4 +0.2
S Methodist 22-23-0 48.9% -3.4 -0.3
Fla Atlantic 21-23-0 47.7% -2.4 -0.7
E Carolina 20-22-0 47.6% -1.7 +0.6
Marshall 18-21-0 46.2% 0.2 -0.1
S Mississippi 20-24-0 45.5% -3.5 -1.4
Sam Hous St 5-6-1 45.5% -27.1 -0.5
UTSA 9-11-0 45.0% -1.3 -0.5
LA Tech 13-17-1 43.3% -3.9 -1.0
Tulsa 15-22-0 40.5% 4.0 +0.6
Florida Intl 14-21-1 40.0% -10.4 -3.7
UCF 15-25-2 37.5% 1.8 -3.5
Old Dominion 7-12-0 36.8% -14.4 -6.6
Charlotte 4-7-0 36.4% -15.4 -8.2
TX El Paso 9-18-0 33.3% -12.3 -3.6
Memphis 10-26-4 27.8% -2.5 -2.0