Cool, this isn't going to be like one of those evil lairs with booby traps. "So tell me mr Jedd. why did you fail to acquire the provisions. this organisation doesn't tolerate failure" followed by me getting a oven roasted tan.
For one thing, I would raid the place early on and add what I could get to the food I have stockpiled, then I would find an decommissioned prison (thus one with no convicts to worry about) to barricade myself into. They're designed to keep people in, so they can be just as effective at keeping the undead out. I would take up position on guard tower and snipe off any Zombies who might have a chance at getting in.