From what's above 33 in. high without modification or extra strain on steering seems the ticket.
So let's talk tire width. The stock factory rims are narrow and the tread width is 8 in. Narrow is not good in sand. Soooo It needs some width for sand float. Plenty of room in the rear but how wide up front without rubbing. I'd like to go to at least 10.5.
It also has an autoride rear suspension in the rear. So the rear height will remain constant regardless of load.
Just came across this thread. I am in the exact same boat. Just picked up a 2002 Suburban 2500 with the 8.1 and autoride as well. I need to replace my shocks on mine and from my research the autoride feature on the 2500 model is a gimmick and the shocks are $300-$400 a piece to boot. That said. I am looking at how to remove the auto ride system from mine and go to Bilstein 5100s. Have you done any research into the suspension past the leveling kit?