Prepper - you were ready for the apocalypse with a shelter and resources (You will start with 3 additional rare resources and also gain an extra barter item every event)
Tenacious Survivor - fleeing to a cave or ruined house in the country, you have learned to make do with what little you have (Once a night, but only at night, Call “Resist” either against a melee hit, or against a Firearms attack only if there is suitable cover immediately nearby (including diving to the floor). In downtime have a better quality of life in more dangerous regions).
Post Apoc Trader - you have survived by paying your way in the remnants of society (You have a head start in a small number of crafting skills. During downtime you can search for more specific types of resources.)
Violent Nomad - you know the wasteland and meet the threat head on (Once a day you may call "Double" with any melee weapon. In downtime have a better quality of life in more dangerous regions.)
Something darker
There's nothing special about me (this gives you an additional skill to use to specialise your character)