From my limited experience their eyes aren't what'll getcha. Its that blasted nose and ears that will tattle on you. If you can get one with a bow, wear a freakin' HUGE smile 'cause you earned it.

22mag...go for it within 100 22lr....keep to 60yards and less even then I'd almost limit myself to "perfect" shots, like quartering away with direct access to the brain stem. Now if you mean the .22 caliber in general then heck yeah. .223 22-250 are old standards and both will make solid clean kills.