2011 Suburban 1500 with tow package

I've been looking through the forums, just because I hate asking the same quesiton someone else already has. But here we go, last year we took our 11 burb from florida to yosemite and back (we have a 2008 freedom lite trailer which has a slide out queen bed, 4000 lbs dry weight, max of 5k) I can tell we had ALOT in our suburban, we added bike racks ont he back of the suburban, carried our 200 lb generator a few gas tanks. It was ridiculous. We were gone a month, gas mileage was terrible, but we expected that. This year we are wanting to upgrade to something our burb can handle, we are looking at a keystone bullet 2400 (I have 3 kids, and 2 adults, so we need a bunkhouse!) Its gross weight says 6800, our tow rating is up to 8100 lbs. We are looking to travel to Yellowstone in the summer time next year in it Do you think that is too much weight for our burb? We have been researching and researching, and I just don't know. we know we want to upgrade though!! Any advice, or maybe an advice on another trailer we should take a look at it, I would be open to look at!! Thanks!!