[BayArea300C]

I am sure this has been tackled before but having a problem finding where. I just got 22 x 9 (14 offset) on my 300C. I have Pirelli P-Zero's 265/35/22. Pu them on last night and noticed that when I hit 55mph the steering wheel starts to rattle pretty bad. As I get up to 75mph it gets a little better, than at 80mph it goes away.

I know that with 22" I will have to sacrifice the smoothness as stock, but is there anything I can do to limit the shake? Does anybody have experience or done anything to help? I noticed that the alignment is almost the same, but never know with California roads.

Thanks for your help and will have pics up soon