Yes, you can fit 35's (315/70-17) if you use the stock wheels, crank up the torsion bars and/or trim a little plastic off the front bumper's lower valance. This is a very tight fit on a stock 4x4. Since you are gonna lift the truck, you might as well go with the 35's.
Also, welcome to the site.
Just a tip. Check with Hummer dealers for deals on BFG AT KO 315/70-17's. They come stock on H2's and some of the large dealerships have them laying around after they install aftermarket wheel and tire combo's.
2005 Expy, 305/45-22 Falkens on 22x9.5 Eagle 026s.
2011 Jeep Wrangler Unlimited, 2" lift, 33" BFG AT KO's on 17x9 Eagle 197s.
2012 Ram 2500 crewcab diesel. 5" RCX lift, 355/60-20 Nitto Terra Grapplers on 20x9 KMC XD Spys.