the diver has less bass than the nailbomb, but it has a fatter midrange
black dog has lower output, but also a ton of mids, specially with a diezel einstein (which is pretty mid focused)
maybe you might enjoy something more balanced, like the abraxas or the crawler, but the bridge vhII sounds like a great match, although it doesn't have the midrange push
I wouldn't say the neck vhII sounds anything like a single coil at all
it has a pretty fat overwound paf tone in the neck position, although it sounds bright and focused in the bridge
if you wanted a pushed single coil-like neck tone, you could go back to the neck nailbomb, maybe the riff raff for less edge
the neck cold sweat works really well for some of the G3 guys tones, specially Satriani, Gilbert and Petrucci