Interesting. The Painkiller is one of the brightest and highest output BKPs, perhaps you could get the sound you want by nudging the gain up a bit further on your amp and/or by playing with the pickup height a tad. You could have Tim wind up a hottened up PK, but it will darken the pickup's sound.
If you definitely don't want to get the PK, that doesn't leave you with many hotter pickups in the range. You could either go for the Miracle Man, which has the most cutting high end of the BKPs, but foregoes the upper-mid emphasis of the PK, instead having very prominent lower-mids. It's a bit hotter and more compressed than the PK, but perhaps not quite as clear (though this is all relative - any BKP is going to be 100x clearer than the Invader you currently use).
You could also look into a ceramic Warpig, which will give you a comparable output to what you're used to, but with far more clarity and articulation than normal for such a hot pickup. It is significantly darker and more compressed than the PK though, so might not give you quite the "bite" you're looking for, though it does have the more cutting highs you get from a ceramic magnet.
Finally, the Cold Sweat is extremely defined and articulate, as well as having shedloads of bite. It is, however, lower output than the PK, but perhaps with some EQ and gain tweaking you'd find a sound you're happier with.
Finally, and this is a major point, you've not tried the PK in your own guitar yet - you may well find it to be brighter in your ESP than in the Tokai.