... the coons just go up a tree and glare at me.
In that case an air rifle (it's quite don't you know) or a subsonic .22 rim fire round, a spotlight to reveal the eyes of the coon, plus a well placed shot right between the peepers, will permanently dissuade any coon from ever again snacking on your chickens. If the coons become reluctant to look at you then loudly kiss or suck on the back of your hand and Mr coon will be unable to contain his curiosity and therefor look right at you.