How's your alignment? More specifically your camber.

I have a set of 16x7" wheels with a +37mm offset mated with 205/45/16 and not really lowered much (about a finger gap between the tire and the fender). I don't experience rubbing when the steering wheel is turned all the way on either side, but I experience rubbing while I'm driving and hit minor bumps/holes or if I'm going pretty fast on a turn.

Also, what kind of tires are you running? Sometimes tire manufacturers have different dimensions and some have bigger sidewalls than others.