U-Haul hears pick-up and they jump on the thought of a full size modern pick-up weighting in at 7000+lbs.
I have played this game with U-Haul before using a Tahoe to tow a old vehicle.
Drive the truck to your local scales and get a certified weight.
Take the paper with you to pick up the trailer.
Your Yukon i s rated but only if properly equipped, which means for that load level either get a trailer with brakes electric or surge. If you have the proper tow connector and built in brake controller on your Yukon then electric brakes, if not then you need a surge brake trailer.
If your just going 150 miles then lube up the rear end and us the tow dolly. Heck $500 you could likely buy a fair used dolly then sell it after your done.
If you search the rags want add you likely could find a used car trailer cheap enough and then resell it after done using.