I'd say Painkillers or Blackhawks, for all the things you mentioned, and the Blackhawks seem like the more versatile of the two. Hmm, or the Cold Sweat combo, maybe. Kinda depends on what tonal qualities you're wanting.
The PK's will be somewhat compressed, modern, with edgy high mids, and will definitely get you AAL-type cleans. It's aggressive, but not crazy or wildly so.
The BH's seem to me to be more balanced, EQ-wise, very modern sounding, but very versatile within that. They seem to be very transparent, so the guitar, amp, and EQ settings you use will determine what it sounds like, to a certain extent.
The Cold Sweat is much more scooped, darker, a little less modern but definitely not vintage or old-school. The CS neck has been the go-to shred neck for years!
The Juggs are a little more complex and nuanced, but I don't think you can go wrong with any of them. The PK and CS were designed mainly for mahogany guitars to begin with, and I believe the clips on the pickup pages were done with a Les Paul; the Juggs were designed with basswood in mind, but many folks have put them in mahogany and they seem to do just fine! Honestly, I'd go back and listen to the clips on the various pickups' pages and see which ones trip your trigger more, and go with that!
