Good first post with all the proper info.
You'll get opinions from "you need a F650 to you're fine".
That's a lot of trailer, but I'll say you're fine.... barely. Dually would be ideal, but I get the weekend trips vs duty cycle of someone pulling it all over the country. You'll be right at GMs rear axle rating and well under the axle mfgs rating. Pin weight will be what? 3500lbs? I'm not a 5ver expert.
I'd have the heaviest tires I could, like 3700-4000lb rated tires, slap some air bags on it and go camping.
This advice is predicated on the fact that you are already fairly well versed in towing.
