I, personally, would camp out as well, though I'd carry a nice airsoft or paintball gun so I could extract revenge.(:
I'd also put up some trail cams around the barn and hide them in such a way that isn't noticeable. I'm actually debating on putting one up in my car-port where MY car is because someone has been messing with the gate around my yard. I keep the gate unlocked if one of us are leaving (aside from my mother, who gets the garage >.> ) so that we can get back in. Everytime I leave in the middle of the day, I can tell it was messed with (looks like going in and out the gate) because of the lock latch on the outside (don't have a lock on it because it was too difficult to mess with and no one ever remembered to take the key). While I have an idea of who it is, I can't be sure. I made sure to take my bow out of the garage so no one could use it against me/my family if it came down to me seeing them in y yard and going after them, which I can see myself doing.
But, for the alarm, I would place it high enough so it would hit about abdomen height on a person so that cats/coons wouldn't trip it. It'll be a person or the horses, in which case the horses would be moved back to the safety of their stalls sooner than morning if they were to decide to go exploring mid-night.
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