Presuming you haven't sorted this out on your own already, based on the leadout for humbuckers (and looking at the Entwistle website) you're on the right track there. The ASN-57's are just a vertically stacked humbucker instead of side by side.

Red/White soldered together, Green & Bare both go to ground and Black is the positive (go to switch).
Entwistle has copied the Seymour Duncan colour codes which helps too.