Your truck has a tow rating of 10k
your trailer will come in at 8k GVWR, that's loaded with all camping stuff, and even that's a strech. you have a curb weight of about 5700 pounds, and an axle rating of 3900 front, and back, likely with a max GVWR for the truck of about 6900 pounds.
with your trailer fully maxed, you're at 8k, that's about 10 percent of your weight, so lets say a 900 pound tongue weight.
With you and your wife, both 200 pounds comes to 400 pounds.
So, truck loaded with you and gas and wife, and trailer loaded to the MAX, you're sitting at about 5700 pounds for the truck, 400 for you two, and 8k for the trailer, that's a total of GVCWR of 14100, you're under that limit.
Your rear end of your truck will come in at about 2200 pounds, i know this because I have the exact same truck, with a 6 inch lift, and i've been on a cat scale, I come in at 2400 pounds, and you have a 3900 pound rear axle, so you're under that rating.
Your payload is going to be 6900 - 5700 = 1200 , subtract your 400 for wife and you, and you're down to 800. Hitch weight of 900 pounds puts you over 100 pounds on your payload. Will your truck implode, nope, will you crash instantly? Nope. Will anything bad happen to you, nope. Not if you drive like an idiot. I do it 3 - 4 times a month, we camp every other weekend, sometimes every weekend. same truck, smaller trailer, I wen't with a 28 footer, and im 7200 pounds fully loaded, but i have the 3.21 gears. Good luck, have fun. I don't suggest it, but you can do it, and you can do it safely. I'm assuming you and you're wife don't both weigh 200 pounds. Also, if you're not 4wd, you gain another 200 pounds.
EDIT, i have different gears than you, so if your limits are any higher than i've listed here, you won't be over, you'll be under. another poster said you had a 1500 pound payload, if that's the case, you're perfectly fine.
