I do a bunch of the Hummer Happenings for the dealers and the so called Adventure Series Tires you are talking about, the bridgestone duelers or whatever work very well. They are the best tire I have seen that are stock to the Hummer models that work very well onroad and offroad. I have over 8500 miles on the tires and I would say just under half have been on the rocks, in the mud, some sand, and a mixture of loose rock and dirt terrain. The H3 has much potential to be an awesome offroad vehicle, and for the lay offroader will be perfect for both the highway and the offroad parks.
I don't have all the pics up from our past events but I do have some recent ones. Check out my photogallery at
http://www.youradventureinc.com/hummer/PhotoGallery.asp