Thinking out loud again.
The fencer asked me today if I would consider renting out the remainder of the property for grazing some of his cattle---the part where the goats won't be now, unless I'm with them. First thought was to say No, but told him I'd think about it.
Upsides:
If he had cattle out there he would have to maintain the fence, check for fallen trees, just to keep them in. Rather than charge him rent I could ask him to maintain the fence a little better than would be necessary for cattle, keep the electric working well, maybe even do some repairs on a few places that really need more than I can handle alone.
This would have a time limit, because after October there wouldn't be anything for cattle to graze on. So I could give it a try for one season and see how it goes. Meantime I shouldn't have to check the fence at all.

He could count the goats when I'm not there, and let me know if it doesn't add up to 3.
Downsides:
I would have to give up any privacy out there for the duration. You'd never know who you might run into, but it would be down at the lake, not up at the house. I'm sure his son would volunteer to check the cattle every day, along with his friends. I don't want multiple copies of keys being made.
It's already summer. It's not pleasant being outside out there June-August anyway, if you're not a morning person.
There is a very remote possibility that the dam repair guy would show up before October. If so, the fence on the dam would be down for a couple of days. Would need a temporary fence around it. He may not like that, and I have no way of knowing if it will happen or not.
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I think I'm going to give it a try one time, with the stipulation that everyone clears out at the end of the season. No more fishing. No more trespassing. No hunting. Anyway I better let him know tomorrow. He may find another place soon.
Btw, I assumed these would be cattle he's either going to butcher at the end of the season, or sell, but one of his favorite jobs is to set up rodeos. He used to do it all over north Georgia in the fall. There is even a Mexican rodeo nearby he's heavily involved with. It could be he would put wild Brahma bulls or Texas longhorns out there for a rodeo. That would be exciting. (Just kidding.)