What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2004 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 34-26-0 56.7% 4.3 +1.3
Rice 24-19-0 55.8% -1.5 -0.2
Middle Tenn 29-23-1 55.8% 7.6 +2.6
Cincinnati 38-31-0 55.1% 11.9 +2.1
Houston 37-31-1 54.4% 14.3 +0.9
S Florida 38-33-1 53.5% 4.4 -2.3
North Texas 26-23-0 53.1% 3.5 +1.5
S Methodist 28-25-2 52.8% 5.3 +1.8
TX El Paso 30-27-2 52.6% 1.4 +1.4
UCF 33-30-0 52.4% 10.4 -0.2
S Mississippi 26-24-1 52.0% 7.2 -0.1
Tulane 30-28-1 51.7% 1.0 -0.6
Louisville 32-30-0 51.6% 15.7 +0.4
Memphis 29-29-0 50.0% 10.3 +1.0
LA Tech 29-29-0 50.0% 5.5 -0.7
N Mex State 23-23-0 50.0% -3.0 +1.2
TX Christian 26-26-1 50.0% 19.5 +0.1
Fla Atlantic 23-24-2 48.9% 2.2 +1.0
Charlotte 11-12-1 47.8% -4.5 -1.7
Army 28-32-1 46.7% 5.1 -0.8
E Carolina 24-29-1 45.3% 1.3 -1.3
Marshall 26-32-3 44.8% 9.1 +0.1
Old Dominion 8-10-0 44.4% 4.6 0.0
UAB 23-30-1 43.4% 0.7 -4.1
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