Sounds like your selling dealership is in to profits rather than customer service or education. One thing I don't see in the discussion here is payload. Payload is how much weight (people, baggage, and tongue weight for the trailer) you can put on your tow vehicle. There should be a a sticker on the driver's door frame that says something like "Weight of passengers and cargo should not exceed..." with a number. The weight of passengers, your weight distributing hitch, anything else that you load in the SUV, and the tongue weight of the trailer should not exceed that number on the door frame sticker - regardless of whether or not the GVWR of the trailer is within the "Maximum towing capacity" listed for your specific vehicle. Use 13% of the trailer's GVWR for an estimated tongue weight: .13 x 7,837 = 1,018 lbs. If the Escalade does not have the payload available to handle the weights above, it's probably not safe - and will shorten the life expectancy of your SUV. Personally, I would not pull a 36' travel trailer with an SUV. Others will have differing opinions.
Rob