Love the idea of a hexcrawl across the Antarctic wastes.
Hexcrawls in the ttrpg space put me in mind of Mork Borg. Is that system similar enough to the ones you have in mind to use? If not, I can do some very generic stuff, leaving out a lot of the crunch.
Relatedly, how much crunch are you picturing for the crawl? Stats for everything, general descriptors, something in between?