35s with 3" of lift are going to rub heavily unless you will be trimming the fenders a bunch. Can't really answer the question as to what kind of tire without some more information. There are tons of tires out there and many are designed for a specific purpose. Mostly on road? Mostly off road? a bit of both?
A forum community dedicated to Jeep Wrangler owners and enthusiasts. Come join the discussion about reviews, performance, trail riding, gear, suspension, tires, classifieds, troubleshooting, maintenance, for all JL, JT, JK, TJ, YJ, and CJ models!