I have lot of respect for the H1 and would love to own one, but in my experience the size is a big disadvantage when it comes to going on off-road trails. It's fine in wide open spaces like the land-scape you see in africa or afganistan.
There is an off-road park that I used to go fairly often near Philadelphia called the Paragon off-road park. (
http://www.paragonap.com/). i had a stock landcruiser amazon. The only thing i change for the off-road trips was to leave my alloys and tires at home and put on steel rims and mud terrain tires. Usually there are also one or two H1s and a few land rovers or Range rovers. Majority of the vehicles are jeeps.
Couple of times when we were fording a stream and had to climb up the bank, jeeps usually were better suited due to the narrow width and they'd find an opening in the bank and squeeze through. With the bigger vehicles like Land Cruisers, H1s, Rangies etc, we had to use brute force and climb up the bank with low range and diffs locked.
Having seen all these vehicles perform off-road, my personal choice in an really difficult off-road trail would be a Jeep Wrangler Rubicon or the Land Rover defender 90 (short wheel base).