I have owned all of the cars you are discussing, an Evo, a 2004 z06, and I currently have a z. My evo had a tune and exhaust, and from a dig it would probably have raped my z. The Z06 I had cammed, exhaust, injectors, tune and a little go juice, but even when it was stock, It would for sure have taken the z. The only chance you have would be to hope the Evo driver doesnt drive very well. The z06 wont even be a good race, especially if he had some decent tires. In all honesty, the Z really isnt a very fast car.