hey thank you! honestly it will likely come down to a series of saves, but making it a puzzle to locate and successfully access shelter could be fun with a quick countdown.
Things to consider: the shelter may already be occupied and require diplomacy or violence to resolve who gets it. It could also be more of a logical puzzle to quickly break into something locked, or to construct something in short order.
I agree one save is a little droll, but a quick encounter with a ticking clock is sure to get the party thinking creatively