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 41-32-1 56.2% 3.6 +0.8
S Methodist 74-61-2 54.8% 7.2 +0.7
UCF 71-59-2 54.6% 3.9 -0.3
Liberty 43-36-0 54.4% 12.1 -0.3
Houston 70-61-5 53.4% 11.0 +1.4
Charlotte 58-52-2 52.7% 0.9 +0.1
Marshall 46-42-2 52.3% 6.5 +0.2
S Mississippi 50-47-4 51.6% 8.0 -1.5
Tulsa 72-69-2 51.1% 4.4 +0.8
Kennesaw St 24-23-0 51.1% 2.0 +0.1
North Texas 50-48-0 51.0% 8.5 +0.2
Jksnville St 44-43-3 50.6% 7.0 -0.3
Florida Intl 48-47-1 50.5% 4.3 +1.0
Fla Atlantic 50-49-3 50.5% 5.9 +0.2
W Kentucky 50-50-1 50.0% 7.1 +0.3
Middle Tenn 53-53-4 50.0% 8.2 +0.4
LA Tech 44-44-5 50.0% 9.4 -0.1
TX El Paso 50-51-0 49.5% 5.4 -0.7
E Carolina 63-67-3 48.5% 0.2 -0.9
Sam Hous St 23-25-0 47.9% 15.7 -0.8
UTSA 31-34-0 47.7% 5.3 -1.0
N Mex State 42-47-3 47.2% 11.4 -0.9
UAB 48-58-1 45.3% 7.4 -1.3
Old Dominion 50-62-2 44.6% 3.8 -0.2
Tulane 57-74-1 43.5% 0.8 -0.7
Memphis 54-73-3 42.5% 8.3 -1.3