I think you'll be surprised at how quickly it gets used up. Bean soup is always a good way to get rid of some of it. I can't really recommend anything as I vacuum seal mine before freezing, but yes, it should freeze fine. The only issue is air in the container that you freeze it in. It will stay fine for a time even with air in the container, but after a while you'll start to get freezer burn. The fact that most ham is cured originally probably helps.
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