From Remco website in reference to your Cadillac.
"•Vehicle can be flat towed with Lube Pump Kit. Vehicle cannot be flat towed from Manufacturer as is"
Follow the link below and fill in the blanks for your vehicle.
REMCO TOWINGFWIW - if you leave the engine running you open yourself to several issues you can't control from the drivers seat of the MH. To add, most manufacturers specifically warn against extended idling of the engine which can cause damage to the transmission. The very thing you're trying to avoid.
2008 HR Endeavor PDQ - Ford Edge 4 Down
FMCA F374292