Ok this is a 2500 series suburban. I bought one because I want to upgrade my trailer as well and I have 3 growing boys. My current trailer is about 5000 loaded and pulls very nice. I would have no issue bumping up to what the OP is talking about. My 09 has a max tow rating or 9600lbs same 6.0, 3.73 gears and a 6 speed trans
To the OP, what are you specifically concerned about? Power? Stability? Fuel consumption? Don't be afraid to let the engine get up in RPM. That is where the power is. only thing is to watch hitch weight on the factory receiver. Limit is 1000 lbs