B.
A walk or slow trot at close range is okay for me. At longer range for me they need to be stationary. I haven't shot at any game animals with a rifle or handgun on a flat out run-I just don't have the confidence I need to feel comfortable but don't fault those who practice this and do feel comfortable.
I do most of my whitetail hunting with a handgun due to my state's ridiculous regulations and because of this I am probably even more conservative. Last year I busted a very nice buck out at about 20 yards quartering away and couldn't bring myself to pull the trigger.