So you have used a holy Diver and Black dog in the bridge? Which did you think was tighter, thinker and bigger sounding? I going for a heavy punk rock sound.
The Holy Diver is hotter, and tighter. I feel as though the Black dog was thicker sounding, at least in my guitar. They both can take on a lot of gain. You are wanting to have a punk rock sound, so I would say that tightness isn't really much of a issue. Almost any pickup will work for punk rock, in my experience anyway.
If I was doing anything but metal, I would go for the Black Dog. Thats my preference. Doesn't mean its the right answer for you though.
There are allot of pickups to choose from, and the BK line up so far, in my experience, has been anything but disappointing.
I think you can pretty much do the punk thing with any of the pickups, just depends on what kind of sound you want.
Seems like any of the vintage outputs would do well. I don't know about the VHII, never played it. Though, many people on the forum love it.
Have you considered the Rebel Yell? Some have descried it as being between the Holy Diver and the Black Dog. I can't attest to that, but I can tell you that I am interested in trying the Rebel Yell. I would say, anything you ended up going with would not disappoint you.
In the end, send an email to the BKP team. State your needs, and the gear you use, including your tuning. They are very communicative, helpful, and knowledgeable. I like all kinds of pickups, but I have to say that I really really like all the BKP's I've tried. Good Luck!!