First of all I'd like to welcome you to the forum!
Second, we have a great thread somewhat related to your question: Largest tire on stock JK? Here's your answer!
. It's a lot of info. but basically it boils down to the fact that you can run up to a 33" tire without a lift as long as you don't do any heavy flexing while wheeling.
Lastly, with a 1-1/2" to 2" lift on your rig, 35" tires will fit nicely. Here's a pic of my rig and I'm running 315/75R-16 tires (roughly 34" dia.) and a 1.5" lift. This was when I had the stock fenders and I did get a little rubbing in high flex situations so I replaced them with flat fenders.