I'd drop him in his tracks and give the "he was headed right for me" story.
I hear all the time about people who say they see wild cats and cougars here in Alabama, and others claim there aren't any. I guess the Bigfoot deal is kinda the same way, or the lockness monster. If I saw em I'd definitely be pulling the trigger and dragging back some proof.
Ethically its not the thing to do. It'd probably stink really bad, and the meat would probably be tuff. I'd like to see the look on the processors face though.