Instead of a moat, you need a tall wall. Several forts with tall walls with zip lines attaching them. The zombies will come to press against the walls, but eventually they will be so thick it will prevent more zombies from approaching. I assume we are dealing with the slow zombies. They are not strong, just relentless. The zombies closest to the wall will be squished and won't be able to do anything. I don't think zombies at the back will start walking on top of the group, they just gather together.
The zip lines allow you to go to your other bases that are also surrounded by tall walls. You just keep switching and the zombies will follow! I would have decoys so that if there are too many on one wall, you send someone out to lure them away. You could even open the door to your fort, let them all in, then lock them in. Do they ever eat each other? I assume the whole herd of them will get tricked from fort to fort without ever figuring things out.
You may eventually run out of bullets, so I think locking them in until they starve is the way to go, but do they starve? I assume slingshots and rocks will causes damage, especially if they are packed in tight enough.
You might even try cargo nets to lift some up high and drop them. A series of pulleys may make this relatively easy! Even dropping loads of rocks on their heads will slowly reduce their numbers. As long as you do not make a lot of noise they don't seem to follow.
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