In the late 80s I had a similar looking guitar which had all black pickups and rings but chrome hardware. I think it looks great as is - a bit of a contrast makes it more interesting than going all black. Personally I believe I'd prefer the zebra look over the double cream in that guitar - too much of a contrast could make the pickups look like they don't belong on this guitar. That is also the reason I would leave the black rings.
Cheers Stephan