What is every Conference USA team's record against the point spread with more days of rest than the opponent since the 2005-2006 season?

Definitions
Team ATS Record Cover % MOV ATS +/-
Rice 51-39-1 56.7% 3.5 +0.2
SMU 82-67-2 55.0% 7.3 +0.8
Louisiana Tech 53-45-6 54.1% 10.4 +0.5
Liberty 47-41-0 53.4% 11.4 0.0
Houston 80-70-5 53.3% 11.2 +1.3
UCF 74-66-2 52.9% 4.0 -0.4
Charlotte 68-61-2 52.7% 0.3 -0.1
Missouri St 69-63-1 52.3% 6.5 +0.8
Southern Miss 56-52-4 51.9% 7.5 -1.6
Tulsa 80-76-3 51.3% 4.2 +0.8
Florida Intl 54-52-1 50.9% 4.2 +1.0
Middle Tenn 61-59-4 50.8% 7.9 +0.2
N Texas 56-56-1 50.0% 9.0 +0.1
W Kentucky 58-58-1 50.0% 7.2 +0.2
Sam Houston 27-27-0 50.0% 15.6 -0.3
UTEP 56-57-0 49.6% 5.9 -0.8
Florida Atlantic 55-56-3 49.6% 5.8 0.0
Jacksonville St 48-49-4 49.5% 7.3 -0.4
Delaware 57-59-3 49.1% -0.8 -0.9
Marshall 49-51-2 49.0% 6.2 -0.1
New Mexico St 49-51-3 49.0% 11.2 -0.5
UTSA 39-41-0 48.8% 4.3 -0.7
Kennesaw St 25-28-0 47.2% 2.8 -0.5
UAB 58-65-2 47.2% 7.9 -0.9
E Carolina 67-78-3 46.2% -0.5 -1.5
Memphis 63-80-3 44.1% 8.8 -0.7
Old Dominion 58-74-2 43.9% 4.1 +0.2
Tulane 64-87-1 42.4% 0.7 -0.5