I had a weasel living in my house one winter. Never had a mouse problem. The dog and him finally came to terms in the living room one evening and that was the end of that. But while a weasel on a farm with livestock is no good, they do have a purpose in life. And that is rodent control. A weasel will kill a mouse a day, sometimes more. But if it is chickens they were after, then you have to do what you have to do.
That is a heck of a tribe you have there. No wonder you need all that venison. And what beautiful gardens you have. I guess you can a lot.