What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2003-2004 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Rice 45-35-1 56.3% 4.9 +1.0
UCF 73-59-2 55.3% 3.7 -0.1
S Methodist 78-64-2 54.9% 6.8 +0.8
Liberty 41-34-0 54.7% 8.5 -0.2
Houston 76-64-5 54.3% 9.2 +1.1
Charlotte 64-54-2 54.2% 2.3 +0.5
Middle Tenn 66-58-4 53.2% 8.3 +0.7
Marquette 105-93-3 53.0% 6.0 +0.3
LA Tech 54-48-4 52.9% 8.5 +0.5
Jksnville St 51-47-3 52.0% 5.8 +0.4
TX El Paso 58-56-0 50.9% 6.6 -0.6
UTSA 32-31-0 50.8% 5.1 -0.1
Fla Atlantic 49-48-3 50.5% 5.0 +0.3
Saint Louis 74-73-5 50.3% 2.6 -0.2
N Mex State 49-49-3 50.0% 11.0 -0.5
Tulsa 72-73-2 49.7% 3.0 +0.4
UAB 60-61-3 49.6% 7.4 -0.4
S Mississippi 56-57-4 49.6% 6.9 -1.7
Marshall 50-51-2 49.5% 4.6 -0.2
Sam Hous St 23-25-0 47.9% 15.1 -0.8
Louisville 88-96-5 47.8% 9.6 -0.2
W Kentucky 55-60-0 47.8% 7.6 +0.1
North Texas 51-56-0 47.7% 8.5 0.0
E Carolina 63-70-4 47.4% -0.1 -1.2
S Florida 89-100-5 47.1% -3.4 -1.3
Florida Intl 56-63-1 47.1% 2.0 +0.1
DePaul 82-93-5 46.9% -3.6 -1.4
Memphis 66-82-4 44.6% 8.0 -1.0
Cincinnati 81-102-3 44.3% 6.2 -1.1
Old Dominion 53-73-3 42.1% 4.2 0.0
Tulane 54-79-1 40.6% 0.3 -1.0
TX Christian 59-94-2 38.6% 2.1 -2.0