Actually, I've come to the belief that there were no black handled phasers. I think the bronze handles were so dark (see my links above of brightly lit bronze handles), they appeared to be black most of the time (picture a dark brown as viewed on 1960's TV's... it'd look black too).
The original phasers did not have a bronze handle. We know this for certain as several, mostly midgrades and so-called crapizoids, survive to this day with the original paint. On photos of genuine props I have seen, the midgrades have a very dark/ash gray color (which can look like plain black in certain lighting conditions), and the crapizoids I have good images of have black handles.