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

Definitions
Team ATS Record Cover % MOV ATS +/-
Jksnville St 5-1-0 83.3% 17.2 +13.2
Liberty 11-6-1 64.7% 9.4 +0.6
Tulsa 35-27-0 56.5% 4.0 +1.2
Rice 25-20-0 55.6% -2.2 -0.7
Middle Tenn 30-24-1 55.6% 6.7 +2.5
Cincinnati 39-32-0 54.9% 11.6 +1.9
S Mississippi 30-25-1 54.6% 7.0 +0.1
Houston 38-32-1 54.3% 13.6 +0.7
TX El Paso 31-27-2 53.5% 1.4 +1.6
S Florida 39-34-1 53.4% 5.2 -2.3
S Methodist 29-26-2 52.7% 5.0 +2.0
North Texas 27-25-0 51.9% 3.3 +1.0
Memphis 31-29-0 51.7% 11.1 +1.7
LA Tech 32-30-0 51.6% 4.8 -0.9
Louisville 33-31-0 51.6% 15.6 +0.6
N Mex State 24-23-0 51.1% -2.2 +1.3
TX Christian 28-27-1 50.9% 19.4 +0.5
UCF 33-32-0 50.8% 9.3 -0.8
Tulane 30-30-1 50.0% 0.4 -1.2
Fla Atlantic 23-24-2 48.9% 2.2 +1.0
Charlotte 11-12-1 47.8% -4.5 -1.7
Army 28-33-1 45.9% 4.6 -1.0
Marshall 28-34-3 45.2% 8.9 +0.1
Old Dominion 8-10-0 44.4% 4.6 0.0
UAB 24-31-1 43.6% 0.8 -3.9
E Carolina 24-31-1 43.6% 0.9 -1.3
UTSA 15-20-0 42.9% 2.2 -1.1
W Kentucky 21-28-0 42.9% 6.5 -3.5
Florida Intl 20-31-1 39.2% -4.2 -2.2
Sam Hous St 0-2-0 0.0% -14.0 -16.3