I am no expert on the aftermath (yet, hopefully getting one soon), but I hear that the neck is warmer than most people expect. Also you maybe got a nice clean jazz tone out of it when you role down the tone. It certainly has the clarity and definition you need and will do nicely for the djenty stuff in the bridge. The neck will of course do the heavy stuff as well.
The AM is definetly made for the heavier stuff, but I recon nearly every BKP can also produce nice clean tones depending on your taste.
So I think the aftermath might work for the neck too, if you role the tone down, but other members will know more than me.
One other (probably totally insane) idea in my mind is a HS P90 neck like the stockholm. Single coil responce and clarity for the jazz and being able to do very agressive heavy stuff.
Then again this probably won´t work too well as I have know idea what I am talking about here^^