Two days would still give them a considerable amount of time to prepare against the expected Giant Zombie.
For now, Shane was given a vacant thatched house and paid for 2 Zombie Cores that were good for one day. Apparently, the Ironclad Imperium was also advertising their low-cost accommodations to the Regional Chat, and if he decided to ask in the chat, there should be several people who could provide testaments for him.
Of course, there was also some chance that he could get robbed or killed while he was staying here. After all, government laws basically do not exist in this Apocalypse World. There weren't any police or organizations that would help him if he got mistreated in this place.
Nonetheless, Shane believed that he could trust these people since his Danger Sense and Survival Instinct weren't telling him to avoid this place.