Expedition Tow Vehicle - Doing the Math - Will it work?

I have a 2015 Expedition, with a 1654lb payload capacity. I am towing a Keystone Passport 3320BH (36'10" total length, 6590 shipping weight, 8000 Gross). Max towing capacity on an expedition in 9200lbs.

I don't carry anything in the Expedition except passengers to keep under the payload. When I bought the camper (used) it had no anti-sway!, I towed it an hour home. It was a bit scary when the Tractor Trailers passed, but manageable.

I think you will be Fine.