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I am no C6 expert, but with 19x12" rear wheels, I think you will need the Z06 fender flares to keep the tires tucked in.
Chuck
Like Chuck, I am not a C-6 expert either. In order to have the proper size tire to fit that 12" rim, I think Chuck is right. In order to maintain the proper stagger (difference in front and wheel overall diameters) you will be using a much wider tire than stock and you may need to increase your clearance as Chuck suggests. I would contact Luke at tire rack to see what the minimum tire size for that rim and work from there.
If you're doing it for looks or drag racing that might be a good thing. If you take it out on a road/autocross course it will push more than you will like.