Contrary to popular belief, Arrows are actually very quiet things. A noisy arrow is a one that is not aero-dynamic, thus not very effective at killing Orcs or Dragons or even cardboard targets.

First: We modify the arrows in different ways. Using Tape, Ribbon, Plastic balls and a Drill.
Next: We find a very quiet, very cold quarry in the middle of the Drakensberg. (because even with all the modification it still was not that loud)
Then: We summon forth the Orc-slaying might of our boyhood fancy and try to fire off several convincing shots.