I checked Four Wheeler magazine's fitment chart and the H2 has not been rated yet. My gut tells me that 37s will run awfully close to those fenders when articulated at impact and/or turn-in.
You can get away with 36s (e.g. Super Swamper, Mickey Thompson, Dick Cepek), but you'll have to change wheels to a 16" and I don't know how that bodes for fitment with the braking system. The more you deviate from OEM items the greater the impact on the Speedo & Brakes.
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