Well I do not know how they compare really, but I recon BKPs as always are less hot, meaning less compressed and more open. That combined with their clarity always seems to eat away some gain (this is a good thing, trust me). This now is just a guess, but if you play like that, yeah you might actually have a good time with the Mule neck after all. Just for most people and how they like their balance the drop might be too big, but for you that might just be what you want then.
However not that BKPs are all really dynamic to begin with so that alone makes huge difference to duncans. So yeah, hard to say. In light of this the Mule might work. Cause they are so dynamic the abraxas and Emerald would work too, but maybe not as good for your style after all. I am really not sure.
You actually do a very good job of describing, I am suprised. Just stay away from what other people say. But the rest gives a good idea. All of the necks mentioned would certainly do a good job and the HD would be very much at home too for what you describe.
