I downloaded a manual for your 2002 from Monaco
. It says your coach's hitch rating and its towing capacity (GCWR - GVWR) is 5,000 pounds. You should confirm this (been known to be incorrect, more than once) by looking at your manual and coach weight label.
Weigh your loaded Hummer. If it's over 5,000 pounds, you will have to decide for yourself if you want to exceed the coach manufacturer's ratings.