For "thick" and "attack", an SD Custom is definitely the way to go in the bridge. A Gibson 500T would be my second choice; it's hotter and both the highest treble and lowest bass are louder than with the Custom, so it can sound either deeper or brighter than a Custom depending on what frequencies your amp and speakers emphasise most.
For the neck, I'm going to go against what many have suggested so far and say the Jazz is far from 'thick', nor does it have particularly sharp note attack. A Pearly Gates will give you a thicker tone than the Jazz (or most stock pickups) with about the same kind of single-note response, or the Sentient gives you a slightly thicker tone plus a little sharper note attack compared to a Jazz (or the PG, or a '59). Sticking an A4 or A5 in a Pearly Gates will give you sharper response like the Sentient but still a little thicker-toned.
That said, DiMarzio are the pros when it comes to thick neck pickups with significant note attack; their LiquiFire, Air Norton, PAF Pro and Rainmaker all do that job in various flavours of output and bass response to suit different tunings/string gauges.