Rick got us thru ultimate Adventure in a 4th gen 4Runner, on 285s with a mild lift, ATRAC and some sliders, with Erin behind the wheel (she did great, I just say that because she is a novice driver at this point and was puckered up for most of it). And I am pretty sure he drove us thru about half the 3's (easy and hard) in the park over the 2 days we were there.
Driving ability and confidence in your rig and your ability are 99% of where you go. Rick has followed guys on 37s and up for years in Digdug and makes people scratch their heads every time, but he is a hell of a driver and has a ton of confidence in his rig (and is a hell of a spotter too).
I ain't trying to talk you out of anything, but I would speculate that there is a threshold that you are trying to stay away from with this rig, and that is body damage. Being taller will help get you over stuff, but when you get into that realm damage is going to happen.
Since there are some opinions floating around, if this is to stay a dual purpose rig for now, concentrate on driving it to the max on the 35s, learn the limits and improve your own driving ability. If you insist on tinkering with it, look at stuff like ARP studs, part-time conversion, low range t-case gear, more armor, etc. Those will do more for you in the long run than going to 37's will. And then when you are satisfied with your ability, then bump up to 37s, or by then you may be looking for a buggy because you know you will destroy the 80 on the trails that you really want to do.
Shouldn't be any reason that a well built 80 on 35s couldn't do the bulk of the trails at HS, including all the 3s and a good portion of the 4s, but body damage has to be understood at that point.
Whatever you do, just keep doing. Stay in the mix and roll on man.