Wow, you lot are screwed. The point of zombies is they are a commentary on the living. The traditional zombie films demonstrate this by having the zombies flock the same places they were programmed to go to when alive (e.g. shopping mall in Dawn of the Dead, the pub in Shaun of the Dead). Given the prevalence of zombie films these days, when dead everyone will head to secluded farms, fortified buildings, military bases, just like they saw in the films they watched when they were alive.
So, while you lot are surrounded by the undead out in the countryside or in your castles, i’m off to a suburban library: nobody went there when alive, so they ain’t going to show up when they are dead.