What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2005-2006 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Rice 42-32-1 56.8% 4.1 +0.9
Charlotte 58-48-2 54.7% 1.7 +0.5
S Methodist 73-61-2 54.5% 7.1 +0.6
UCF 70-59-2 54.3% 3.6 -0.4
Liberty 40-34-0 54.1% 10.1 -0.3
Houston 69-60-5 53.5% 10.5 +1.2
LA Tech 49-44-4 52.7% 9.0 +0.2
UTSA 32-29-0 52.5% 5.1 -0.1
S Mississippi 51-47-4 52.0% 7.7 -1.5
Marshall 45-42-2 51.7% 6.1 +0.2
N Mex State 46-45-3 50.6% 11.3 -0.3
Fla Atlantic 49-48-3 50.5% 5.7 +0.3
Middle Tenn 56-55-4 50.5% 7.5 +0.2
Jksnville St 44-44-3 50.0% 6.1 -0.3
Tulsa 69-71-2 49.3% 3.3 +0.4
TX El Paso 51-53-0 49.0% 5.6 -0.9
Florida Intl 48-50-1 49.0% 3.5 +0.4
E Carolina 62-65-3 48.8% -0.4 -0.9
W Kentucky 51-54-0 48.6% 7.3 +0.3
North Texas 47-50-0 48.5% 8.6 0.0
UAB 51-55-2 48.1% 7.8 -0.8
Sam Hous St 23-25-0 47.9% 15.4 -0.8
Memphis 56-74-3 43.1% 8.9 -0.9
Old Dominion 49-68-2 41.9% 3.9 0.0
Tulane 53-77-1 40.8% 0.1 -0.9