By sheer coincidence, the paper this morning had a Cabela's ad insert, and I see that they are selling some sort of crossbow/laser sight package for $ 1100 (!). I never knew it would be so expensive to silently hunt the biters.
Much cheaper, faster, and just as quiet.
FWIW, most of the sources I've seen seem to indicate that the typical sling bullet ranged anywhere from golf ball to baseball sized, including cast lead ones. Imagine getting thumped with a solid lead fastball. Balearic sling competition involves putting the shot through a 20" hole at 100 feet, so you can definitely get combat accuracy at handgun range.
Only real drawback is the difficulty of finding a safe place to practice; you either need a full 360 degree area open at least 100 yards in all directions and 2-300 yards in front, or a solid backstop behind and to both sides, with a large open area in front. Once you get the technique down, and find your personal best method and your sling's sweet spots, you'll be hitting man sized targets at 15-20 yards consistently, and just working up your fine control until you can get head shots on rabbits and squirrels.