The individual razor will have a greater effect on its shaving than the steel category. Of my straights I think I have two that would be considered a stainless, although they are not really by modern standards. I only have one that has patina like a true carbon steel, and I have six shavers at the moment. Its a spectrum when it comes to vintage straights.
Basically you are making the same compromises that are always made, ease of honing, or edge life. A wipe dry and a post shave strop is really all that's needed in most cases. If you live in a high humidity area you may need to do more, but not likely a lot.
If you are going for new, then proper heat treat, clean grind, and a straight spine are going to matter far more. Blade shape and weight have a greater effect on the shave than the steel does, and so I would focus on those variables first to find out what shaves best for you.