Considering you track your car, I think control arms should be your first step. They are a massive improvement over stock, and provide the benefit of a couple extra degrees of camber. You could squeeze 245/35 upfront with control arms. Hell if you want rubber, drop down to 17x9" and you could get away with 255/35 all around.
As St|g mentions above, why? This car honestly sucks with too much tire, I'd recommend 235/40 with 18x8.5 et45 Arc8's at the most, even for a track setup. That's the setup I went with!
Side note, sometimes I really think about doing this: