I am sure someone will tell you to make sure that the weight you are talking about is real weight, not just the "dry" weight.
One thing you need to look at is the hitch on the Suburban. The hitches from the factory are notoriously weak - maybe a 5000 pound weight rating. There were some model year Burbs that had the hitch integrated in, and were very difficult to upgrade the hitch. Hopefully your Burb is not that MY.
I have an 03 Burb. I upgraded the hitch to tow my 6500 pound boat. It was honestly shocking how flimsy the factory hitch was. And my Burb is a 2500.