First you have to know what rim size you are going with to establish what tire you are going with. For a good clean look my preference is a 20in rim if you are going with a 35in tire and a 22in rim if you plan on going with a 37in tire. The performance of your truck on road will be better with the 35's as it takes more to spin the 37's and your truck will be a bit more sluggish. To the flip side H2s fit 37's and if you plan on frequently wheeling it will give you a slight advantage with a bit more ground clearance.
As far as tires you have several choices in all sizes. Fortunately there are some aggressive looking tires on the market that still ride and drive nicely but maintain the rugged look of the H2. A couple that come to mind are the procomp xtreme a/t and m/t, the toyo m/t, then the Kumho KL71. I ran the KL71s and I found they drasticly increase "roll" when cornering and I felt like i really had to slow down when cornering(it feels almost like the tire is about to roll off the rim). With the xtreme a/t this was not an issue at all. I think possibly the KL71 is structurally too weak a tire for a truck that weighs as much as the H2. I have not run the Toyo M/T but many rave over it. There are also tires by Mickety Thompson that would work well and are a great looking option as they are a wide fat tire that give a nice stance(specs on most 35 in tires are 12.50 wide where as teh pro comp xtreme a/t and the mickey thompsons are closer to 14.00).
Here are some pictures of the Kumho which is a 37x12.50 and my procomp 35x13.50 both on the same rims which are 20 x 10 kaotik NT-1:
The procomps have an attractive sidewall design:
The Kumhos do not, in the Kumho factory pictures it looks like they do however:
IMO a wider stance looks better...here is a 12.50(Kumho) vs. a 13.90(procomp)
Wide tires
Skinny tires
