Tank would be ok, let it just use so much gasoline that it's almost unusable (making resource scarce would make using tank also a rarity). In a zombie apocalypse there are certainly some amount of tanks to be found, and not all of them broken. All those kind of 'equipments' should use a lot resources like gasoline and needed some maintain like fixing tires and tracks, so it would make them almost impossible to use but there would still be chance to use them after getting a lot resources for them and ammunition if you really want to shoot with the tank.
