I don't know that much about 'em, in a pinch having to make a decision, I'd say between the eyes? Other than that, the vitals should be in the usual spot behind the shoulders.
They talk about shooting them between the shoulders in the article.
I've only had gator a few times and I'm sure it was farm raised. I wonder if there is a huge difference with wild meat... I'm not sure I'd be a fan of swamp flavor.
I would be a fan of some shoes and a wallet or two from the creature...
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I'm against picketing, but I don't know how to show it.