I've popped VHII's in my 92' Classic and have to say they can pull off anything from Billy Gibbons, Gary Moore right up to Randy Rhodes- there's even a bit of 70's The Who in there too.
I've coaxed Bonamassa-type tones out of them.
Bottom line-these are great 'hot' humbuckers which cover a range of tones and react well to valve amps, pedals and volume and tone pot manipulation. (i'm sure all BK's do)
Many people have suggested that the LP Classic have a lighter tone due to the 60's neck, and a pickup with more 'go' in it would compensate for this.
Have you considered the Black Dog/Riff raff combo that seems to be doing the rounds at the mo?
Lastly I had a Crawler/ VHII in a Peavey Wolfgang, although not a Les Paul, these were a very versitile set up for classic rock!! in this guitar the VHII neck gave me that Gilmour 'ABITW' tone... i should never have sold it!!!