Welcome Jim!
I'm 52 so thanks for making me feel young amongst all the youngins on this forum. The 280Z was my dream car from my youth so mine is my mid-life crisis car for the weekends. I don't even drive it if there was a threat of RAIN.
I live in So Cal so no need for winter tires. But I would imagine if you don't plan on driving even with the threat of the snow and ice, you should just stick with the summer tires. You can't get the same kind of road hugging performance that the Z deserves from all season tires.