I actually thought of that, Ox, but my impression is that 3D prints look like utter crap, far worse than "made in Taiwan" free toys in cereal boxes did in 1970. If we didn't care about how good or bad the results looked we could just paint a black one.
The best idea I've had so far is getting a shop that applies wraps to cars to try wrapping a black cover. If they could negotiate all the fine details of the shape--and they do a good job of that on actual cars--the result would look good and be strong enough to stand up to a pick.