Talk to the owner. Most dog owners will act responsibly once they realize their dog is the source of a problem. If the dog owner is uncooperative and thinks it's his right to let his dog run loose, inform him the game warden is the next communication. Shooting the dog should be a solution of last resort, after a lot of other effort has been made. And be fully aware that the dog's owner will probably try to make trouble for you, right or wrong.
I'm with you!