x3 You definitely need anti-sway bar. 14" rims would be better but I see that's not possible. Get stiff shocks. I don't think you want coil overs as you loose travel. 60's aren't helping as well. I think your main issue is the tires themselves. When you get to a certain width the tire wants to rub on the inner wheel well almost at the fender edge. If you had a skinny tire you would have lots of space for the tire to miss the inner fender. You must be getting tire rub when you steer as well correct?
I would try going to a tire guy and have him swap out tires of various size onto your rims and check for rubbing. Take the best fitting tire given your configuration.
Good luck!
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