I would call the golf course and ask. I was just visiting there.
If you are referring to the pond on #17 (as well as the river on the golf coarse) you must get a pass from the golf coarse first. They offer day or 24 hour passes. They are pretty expensive to get. Plus you need a state permit for fishing as well as a special permit for trout fishing. I do know someone who fished #17 and caught about 20 trout with his daughter though... so it would be awesome fishing, especially with kids. I honestly in 20 years have yet to find a good fishing spot around here.
I don't think so, but ask the homeowners association.
I've just played golf. I've never seen anyone fishing except at the clubhouse bar.
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