I have a Painkiller set in a basswood 7-string, and harmonics from either pickup are a breeze!

I
will say, the PK bridge probably isn't the best pickup in basswood for the EVH sound, it's
very edgy; suits me and the sound I want, but it's not a terribly versatile combo otherwise. I can get some decent mid-gain sounds, but you can tell that's not the strong suit. In other woods, it does a lot more, and I hear it's
killer in mahogany - but still not EVH-ish!
The neck is amazing, even in basswood, very versatile, sounds good in pretty much every kind of gear I've messed with, but of course it's ceramic and very modern sounding, so again maybe not that suited for what you're doing.
None of which probably helps much... I do remember reading an interview, when Eddie was creating his new EVH line (which is made by Fender), he went through a long process with his new pickups... at one point he told them "the current prototype is good, but it hits you in the gut... I need it to hit you in the chest!" So... a pickup that has less focus on the low-mids, more on the high-mids, but alnico so it's not too tight or harsh? I wonder if the Juggernaut would do it...?
Also, re: Andrew W's suggestion about the picup height - definitely! Literally 1/8th of a turn of the screws makes a noticeable difference in the sound and response of my PK's! You might try setting yours really high (say, 1mm away from the string held down at the highest fret), and working your way down, maybe 1/2 or 1/4 turn at a time, until you can zero in on the sweet spot. For mine, it seems to be right at 2mm, but YMMV!
