Beautiful guitar! 8)
I have a few suggestions that I think might suit your guitar so, in no particular order:
1) Black Hawk set
Never played them but they seem to be a highly versatile set so should cover your different styles really well.
2) Miracle Man bridge/Emerald neck
Your description of 'thick, heavy and tight' makes me think of the Miracle Man as I recently asked about a pickup that was thick, fluid and smooth like the Holydiver but a bit tighter in the bass, a bit more screaming in the highs and a bit more aggressive. It had to be in the same kind of 80's Metal ballpark as the Holydiver and the overwhelming response was Miracle Man. It should arrive tomorrow :D It seems to me that what you're describing isn't too different. I have no idea how the Emerald neck will do finger-style jazz particularly but it has a really sweet tone.
3) Emerald set
I've always loved the sound of Emeralds so I could never argue with you for liking those, although I've never really thought of them as being particularly 'thick', in the bridge at least.