I gotta agree, most of the time loads are loads with handguns at short ranges, it isn't worth the effort. I had to grin when you mentioned the bow and arrow part.
A few years back a fellow I worked with was shooting every weekend at the gun club in whatever competition was going on with handguns. Did it for years, revolvers and semi-auto. Thought he was pretty good. One day he got a little mouthy with one of the bowhunters at the job.
Do not....never....shoot against a skilled archer at ping-pong balls at 20 yards. You're gonna lose. Watched and grinned while Mel got his come-uppance. His excuse was the "pressure wave ahead of the boolit" was pushing the ping-pong balls out of the way. That story worked until we taped them down instead of hanging them from a string.