Sad to say that if skunks are considered a pest (like grey squirrels are in the UK) where you are it will be humanly dispatched if you hand it over. However if it's crippled in any way, or bleeding heavily, that's probably it's best option anyway.
Police handle animal control here, they pick up [illegal] snakes and alligators and handle things if a persons pet gets run over or they find someone from animal control to get it. It is worth a try.