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The majority of budget steels will be very rust resistant. They won't hold an edge well, though.
I use 1095 and 02 in the snow all the time, and I never have a rust problem. If you get a good patina on a tool-steel knife you really don't have to worry too much about it. I live on the west coast of canada in a rain forest, next to the pacific. I've never had rust problems. I think you'd be better off worrying more about the quality of edge the steel will maintain versus the rust resistance.