My Mountaineer and Chevy are pretty much the same weights as your stuff. I am 3-400 overweight on truck and trailer is 500-1000 under it's load limit. I am thinking your truck dry weight may be for a gasser. It seems like my empty weight is close to 7000. 2 people, a 150 lb hitch, 250 lb of fuel and sundries pushes me to around 8000 without the trailer.
I have read numerous accounts and a mechanic just told me Friday that a 2500 and 3500 are the same except for a spring. My truck doesn't sag at all hitched up, so I am not too worried.
Tom and Gail
2013 Mountaineer 362
2012 Silverado 2500