Should I tow my Grand Cherokee or get something lighter?

sooner or later you will pay a price for towing beyond the capacity of your hitch, towbar or the GCWR of your MH. premature failure of suspension, brakes, poor handling, extended braking distances , etc. IMO you’ll be increasing the risk to yourself and anyone who has the misfortune to cross your path. weight ratings are there for a reason. follow them. but i’m fairly certain you knew the answer to your own question before you asked it.