Dan, thanks for the inspiration, and Curtis and Louis, thanks for the links.
Using those coordinates I cheated (aka, "motorboat") and went out there yesterday about two hours before sunset. Even with the coordinates, I was wondering if the coordinates were correct, because I found no island, just a thin line of trees sticking up out of the water. I even called someone to confirm I was at the right place. As I got closer, the number of birds made it pretty clear I was.
At the current water levels, a little "indian duck hunting" would be possible. The lake water is warm enough to get in and stay for an hour without getting chilled; all you need is a log or pumpkin to cover your head, and you would walk in waist-deep to chest-deep water right under the trees where the birds are roosting. I'm even wondering if a camo umbrella would work.
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For the record, I have no intentions of actually grabbing one of these fellows; I'm just thinking it would be fun to see how close you could get. Even without that, some of the birds let me get within 50 feet. (I probably won't really do this, because I don't want to risk disturb their nesting that much, but it is fun to think about.)