Boy, you sounded like I did years ago. before there were side by sides, quads were the thing to buy for hunting. I had a quad but it was not enough and I had to trailer it from spot to spot. So here you are.
You need a lift for 31s. I would not go bigger than that as to go to 33s it takes alot more to get them too fit.
Im sure there are other opinions, but Ill give you mine. I think that 31s is the best bet for hunting, road driving and offroad mix. However, to get a good ride, thats the hard part. I just built a "hunting samurai" for a buddy and did a spring over with stock springs. Used the stock shocks with the stock mounts, driveline spacers, and a dropped pitman arm. I put 31 alterrain with 7 inch wide wheels 3 or 3.5 backspacing. It road a little better than stock becuase the tires were a little bigger. We put a removable tow bar to flat to it behind motor home. We put a 4 to 1 transfercase in it. the gearing was about stock in high range for the road, and you can pick up the 4 to 1s for cheap and most crawlers upgrade to the 6 to 1s. no need to regear your diffs.
to make it ride better you may shop for aftermarket springs, but with out redoing the spring mounts you will probably not be happy with the stock length springs.
I think that rock sliders are the most important armor you can put on. really thats the only part of the body that is vulnerable to damage.
So theres my opinion, I hope that helps. I think you can to the rght place for help. let us know your progress.