Posting photos for this forum is beyond my capacity so far. The subject has come up before; I'll be interested if somebody's got an easy way to do it.
A good, effective paint remover for plastic is (drum roll, please) brake fluid.
Find a metal container (one of those cheap aluminum baking or broiling pans from the grocery works fine) that will hold the part. Put the part in the container and pour in enough brake fluid to cover it. After half and hour or so, hold the part under a faucet and pour cold water on it. Most of the paint will wash right off. If some of it's stuck in the smaller interstices, work it over gently with an old toothbrush. If that doesn't work, give it a second soaking in the brake fluid. If that doesn't work - well, the paint's obviously stuck pretty firmly, so just paint over it with the color you want.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.