I towed a similiar trailer with my Z06 in it. I found the H2 to lack a bit in power. I towed it from San Jose CA to Willow Springs Raceway near LA.
I found myself wishing it would downshift a few times on the hills and it wouldn't. The shifting points could have been better. I lugged a bit just from this, I think.
I also couldn't see too well - I stopped and bought some cheap mirror extenders. They vibrated more than a marital aid

but they helped. The problem I had was with swaying - but I didn't have a load leveling hitch. A longer wheel base would be better for towing (but worse for offroading!)
I have a external spare tire rack - this didn't work at all when towing. I recommend putting the spare back inside when towing. I ended up putting the spare on the floor in the trailer.
With a super charger, computer modified to shift better, and better mirrors, it would be perfect.
All complaints aside, there's no other truck I'd rather have! I just wish it had a built in Nav system, but I digress! :p
-Mike