Like many vehicles, with the 'burban, you're going to run out of payload before anything else. So take a look at the GVWR of the trailer you're considering, multiply by .15 to get a worst case scenario for tongue weight. Then take your 'burban to a scale loaded up with a full tank of fuel and your whole family like you'd be going on a trip and weigh it. Take the 15% of trailer GVWR you calculated above, add it to your scaled weight, and subtract that from the 'burban's GVWR (found on the driver's side door pillar). If that number is positive, you should be good to go; if it's negative, you have more work to do.
FWIW, my dad has driven and drives a Suburban, and he thinks I'm silly for considering this math. He says "it's a Suburban, it'll pull it no problem". Needless to say, we disagree on that point, and he SHOULD know better...
ALSO: I've towed at the margin, and I always say this: While it may work on paper, that doesn't mean it's going to work well out on the road where anything can and does happen.
-2018 Greyhawk 29MV
-2020 Jeep Wrangler Unlimited (JLU) (Primary Toad)
-1994 Jeep Wrangler YJ (Secondary Toad)
-2014 Jay Flight 28BHBE & Ram 2500 6.4L CC 4x4 (sold)