I'm just guessing. There's more people on here that have forgotten more than I'll ever know.
Autoexebat... since you've blown through so much material already, another 18 inches isn't going to make a difference, so let's try something.
Take a section of your artwork and crop it down to about 12 inches in length, but keep the complete wideth. You'll have to make sure you have a complete Contour Cut path around the artwork.
Print it, laminate it, and cut it... but this time keep your cut speed around 10 and your pressure around 50.
I know it's not going to cut all the way through, but I'm curious if it stays where it's supposed to.
Just a thought and trying to help.
SP