Classic cars in cold weather states...is it worth it?

Honestly I have only ever owned one car with A/C at I didn't like the car much, so that didn't last long. 100 degree weather all of my windows stay down when I drive, lol.

So not really any hassle to own one i an area like that? I don't mind not driving it during the winter, was just worried about being able to keep it decent looking/running without a ton of extra money being thrown at it after a few years or so in a high precipitation area.