Kwai Chang Caine
"The presence of guns is not always necessary for this kind of character in a western.  For example, in the television series Kung Fu, Kwai Chang Caine is depicted much like a gunslinger, but is a wandering Shaolin monk who instead relies on his mastery of martial arts when called for."

True but guns were almost always present, because the men that Kwai Chang Caine fought had guns on camera in the fight scenes.