I run the 205 50 16 RE71R, and so do all over the other local FiSTs that compete in AutoX. I even daily the wheel/tire set. It is THE tire to run on our cars for HS classing. I havent gotten any rubbing at all, not a bit. I am even considering putting on even more tire, perhaps 225 50 16 or 225 45 16. A small bit of rubbing is acceptable as a "race fitment" and well, if your not rubbing yet that means you can fit at least a little more tire.
But you have me scratching my head as to how you were rubbing with this tire. What were the wheel specs?