Can I pull this travel trailer?

I have a Ford F150 3.5L EcoBoost, SuperCrew, Long bed. I love pulling my 17' Viking that weighs about 3500 loaded. I can easily pull steep grades and being passed by large truck does not cause sway. While on the Blue Ridge Parkway, I talked to a pair of brother-in-laws who were towing with matching rigs, F150 like mine pulling 6500 Airstream trailers. Both guys said that they were very confident in their rigs being safe but they agreed that they would never get a larger/heavier trailer.
Listen to the people on here. For once they mostly agree that getting that trailer for that truck would be dangerous and no fun to drive.