What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2006-2007 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Rice 39-30-1 56.5% 4.0 +0.9
UCF 70-57-2 55.1% 3.8 -0.2
Charlotte 56-46-2 54.9% 1.5 +0.7
S Methodist 71-59-2 54.6% 7.3 +0.7
Liberty 39-33-0 54.2% 11.4 -0.4
Houston 65-58-5 52.9% 10.4 +1.1
Marshall 44-40-2 52.4% 6.4 +0.3
UTSA 31-29-0 51.7% 5.3 -0.5
S Mississippi 48-45-4 51.6% 8.2 -1.3
Fla Atlantic 49-47-3 51.0% 5.8 +0.4
Jksnville St 43-42-3 50.6% 6.3 -0.3
Florida Intl 46-46-1 50.0% 4.1 +0.6
Tulsa 68-68-2 50.0% 3.9 +0.6
LA Tech 43-43-4 50.0% 9.0 -0.1
North Texas 46-47-0 49.5% 8.3 0.0
N Mex State 42-43-3 49.4% 11.6 -0.5
W Kentucky 47-49-0 49.0% 7.5 +0.4
Sam Hous St 23-24-0 48.9% 15.4 -0.6
E Carolina 60-63-3 48.8% -0.2 -0.8
Middle Tenn 50-53-4 48.5% 7.7 +0.3
TX El Paso 47-51-0 48.0% 4.9 -1.1
UAB 46-55-1 45.5% 7.3 -1.4
Old Dominion 47-62-2 43.1% 3.6 -0.3
Memphis 52-70-3 42.6% 8.4 -1.2
Tulane 50-74-1 40.3% -0.1 -1.2