Yeah, I started answering your post several different ways. Overall I might be slightly more partial to the Raconteurs because it's, um, less chaotic? But his other stuff is really great too, and I rely on it heavily for my running playlists.
If I narrowed it down to just a few favorites (who I've listened to consistently over the years) it would be:
Stevie Nicks
Ann Wilson
Chrissie Hynde
Allison Mosshart
Natalie Merchant (not really ROCK, but...)
There are others I like too, and I'm not counting soul singers here
I bought the Biore stuff over the weekend and I really like it too!! And I also found a Lush store, although I didn't remember about Coalface. I will look for it next trip!