Why anyone would drive this car (or any sports car) in the snow is beyond me. They are not designed to be driven in show hence summer tires that come stock. Not only do you risk your car being beat up and looking like crap after the winter season (This 370z paint is the WORST) you run the risk of serious injury to yourself and others.
Do yourself a favor... don't buy the new exhaust system or rims you were planning on getting for the 370z and instead buy a 2000-3000 dollar jeep or another 4 wheel drive winter beater and put the Z away for the winter.
You keep the Z looking pretty for the summer time and you have no winter worrys.