Well, the only thing I can tell you is that CTL Motorsports has installed Bulletproof Suspension kits on not only H2s, but Avalanches, Escalades, and other trucks / SUV's without any problem. In fact, I was told that Bulletproof is the only kit you can remove without any problems (no cutting necessary when installing - relevant to LEASE VEHICLE owners).
I drove a white H2 at SEMA that had the lift you are planning on getting. It rode just like stock but of course just a little bit higher. It is still easy to get in and out but you have some extra height for those BOULDERS on the trail.
If you want some additional advice, call Manny at CTL and he can tell you 1st hand anything you need to know. All of his H2's have had Bulletproof Suspension installed and he has installed other suspensions as well so he can give you the good and the bad of them all.
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03 Black with Nology Ignition products, K.I.T. carbon-fiber fender trim / hood scoop with handles / hood side tower caps / rear louvers / engine cover, 14 inch BulletProof Suspension powdercoated black installed by CTL MOTORSPORTS, Fox Racing Shox, 44inch Truxus STS with 17x14 Weld Racing Wheels, Snyper brakes, Custom black bi-xenon projector headlights, Kodiak fold down steps, black grill, Pro-Fit custom black LVE fuel door, Benevento carbon-fiber dash kit, Husky Liners floor mats, MOMO shift knob / pedals, HITCHCAM rear camera, Royal Purple fluids, Cleargearz clear differential cover, Airaid intake / filter, Borla exhaust / headers, Optima Battery.