If you think it's bad now just wait until the springs settle.
I've known a few people who've complained of rubbing while turning hard with H&Rs but from the sound of it your situation is more severe. I expect the offset of those rims may be a large part of the problem. A lower profile tire may help but it's hard to say until you find out where it's rubbing and how much clearance you have... It may fix it or it may not make any difference at all.