Darwin, many many people have talked about this and the standard enlargement one is 175/70 and will not tear up the fender wells. With your wider rims a 185/60 will be a good fit, much wider and the frame will come into play on a full turn. A off set rim will give you a better chance, but then you get into, if I change this, then I need to change that, no end to it.
The suspension was not designed for sticky tires, so the race cars you see, are just that, completely different than the street machine you are enjoying now.
Wayne