I have 13in steel wheels on my 600 with 145/80R13's on them. I would say they are a very tight fit and rub when turning and hitting big bumps. My car is lowered and has a front swing arm kit (in place of the transverse leaf spring), so my wheel position could be different than yours.
I am not sure if this will help, but I measured my wheels to be 5in wide with a 30mm offset. This puts my 145/80 tire about 5mm from the rear fender and just touches my front fender when fully compressed.
Do you have the width and offset? I can plug it into my calculator and see how it compares to my setup... with the caveat that my car is likely different than yours.