Perhaps the threshold question is whether there were any reasonable choices out there for positions in Kasich's cabinet who happen to be black whom Kasich passed over.
There are literally hundreds, probably thousands, of "reasonable" choices for such positions, so Kasich fails your test but only because you're setting the bar ridiculously high.
Do you have any specific names in mind Lewis? I mean a cabinet position is a rather high office requiring a considerable skill level presumably, and should be held by someone loyal to the administration. I am not trying to pick an argument here, but if I were governor, I would take those appointments very seriously, and would not choose just to pick a couple of window dressing blacks for show. I don't operate that way, and I don't think Kasich should either. JMO.