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 55-43-1 56.1% 4.2 +0.4
SMU 87-70-2 55.4% 7.0 +1.0
UCF 79-66-2 54.5% 4.0 -0.2
Louisiana Tech 58-49-6 54.2% 9.8 +0.7
Houston 88-76-5 53.7% 10.1 +1.3
Middle Tenn 71-62-4 53.4% 8.6 +0.6
Liberty 48-42-0 53.3% 9.7 0.0
Charlotte 77-69-2 52.7% 0.9 -0.1
Marquette 114-103-4 52.5% 5.8 +0.1
Missouri St 76-69-1 52.4% 6.0 +0.6
Saint Louis 87-80-6 52.1% 3.9 0.0
Jacksonville St 55-52-4 51.4% 6.9 +0.3
Tulsa 84-80-3 51.2% 4.0 +0.8
UTEP 63-60-0 51.2% 6.7 -0.5
Southern Miss 64-62-4 50.8% 6.8 -1.5
Florida Atlantic 57-56-3 50.4% 5.1 +0.1
Sam Houston 28-28-0 50.0% 15.2 -0.4
W Kentucky 63-64-1 49.6% 7.5 +0.3
N Texas 61-62-1 49.6% 8.9 +0.1
Louisville 100-104-5 49.0% 9.8 +0.1
Florida Intl 62-65-1 48.8% 2.8 +0.7
New Mexico St 52-55-3 48.6% 11.0 -0.7
DePaul 93-99-6 48.4% -3.3 -1.1
Delaware 62-67-3 48.1% -0.8 -1.2
UAB 68-74-3 47.9% 7.4 -0.5
UTSA 40-44-0 47.6% 4.2 -0.7
Kennesaw St 25-28-0 47.2% 2.8 -0.5
Marshall 54-62-2 46.6% 4.6 -0.7
S Florida 96-112-5 46.2% -2.3 -1.3
E Carolina 69-84-4 45.1% -0.1 -1.5
Memphis 73-89-4 45.1% 7.9 -0.9
Cincinnati 87-110-3 44.2% 6.5 -1.1
Old Dominion 62-79-3 44.0% 4.4 +0.2
Tulane 65-89-1 42.2% 0.9 -0.6
TCU 68-107-2 38.9% 2.1 -2.0