Frostpunk may be close to what you’re looking for. It’s a very punishing survival sim where you build up and manage a small village in a world (I think) that’s a frozen tundra due to nuclear war. You can send out expeditions, recruit new people, but mostly build up your food, infirmary, etc. very punishing.
I've played frostpunk and while it is close to what I'm looking for, I want a more "rebuild this still somewhat functioning society that has just been ravaged by a war/asteroid/hurricane" type of thing, rather than the "make a whole new settlement" type.