What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2012 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
Middle Tenn 20-13-0 60.6% 12.5 +3.0
Memphis 23-16-0 59.0% 17.5 +4.8
Tulane 23-17-0 57.5% 6.6 +2.1
TX El Paso 18-15-2 54.6% -3.0 +0.8
Tulsa 22-19-0 53.7% 0.0 -0.4
Rice 15-13-0 53.6% 2.6 +0.2
UCF 24-21-0 53.3% 14.0 +1.0
Houston 25-22-1 53.2% 12.5 +0.3
North Texas 18-16-0 52.9% 7.8 +2.3
Fla Atlantic 16-15-2 51.6% 7.5 +2.5
LA Tech 20-19-0 51.3% 8.2 -1.2
S Methodist 21-20-0 51.2% 6.2 +1.3
UAB 16-16-1 50.0% 7.4 -2.9
Marshall 20-20-1 50.0% 18.5 +3.1
S Mississippi 15-16-1 48.4% 5.1 -0.3
Charlotte 11-12-1 47.8% -4.5 -1.7
E Carolina 18-20-1 47.4% 4.9 -0.3
N Mex State 15-17-0 46.9% -6.5 +0.6
Old Dominion 8-10-0 44.4% 4.6 0.0
W Kentucky 17-22-0 43.6% 6.4 -2.0
UTSA 15-20-0 42.9% 2.2 -1.1
Florida Intl 14-23-1 37.8% -2.2 -2.8
Sam Hous St 0-2-0 0.0% -14.0 -16.3