Just a thought: have you considered getting a white one and painting it black with some black paint used for painting small models? If you've a friend into painting any sort of models (RPG, wargaming, even old airfix type things or the like) they could probably do a very good job for you in under five minutes (plus a somewhat longer drying time) if you let them know which area of it needs painting.
Not the answer you might be expecting, but the first thing that sprung to my mind.