I think SSS stands for shoot shovel and Shut UP. That's what I would do. Especially with any irrationality on the owners part.
We had a similar situation when a neighbors dog attacked our flock. I was talking to an old time farmer around here and said that I would take it to a pound far away and just tell the owner that we took care of it. (The owner actually told us to shoot his dog) The farmer told me to take it to the pound, kill it, whatever, but NOT to say anything. I thought that was interesting. She is one of those righteous pillars of the community types. I think I would probably follow her advice. (It was the farmer's wife I was talking to) She seemed pretty sure that it was a bad idea to talk. Also around here the animal has to be IN THE ACT of killing your livestock for you to legally be able to shoot it. It would be pretty hard to prove after it was dead. Animal control told me that dead chickens would not be proof that it actually was killing them AT THE TIME. I would be cautious though. The original SSS probably shouldn't have said anything to anyone.