I've decided that the name I've given one of the Elvis characters doesn't quite work for me. He's currently called Elric Clapton; the character is a musician / shaman / martial artist type person, and his name doesn't really reflect any of that, or much of anything except an easy joke.
So what I want is a rock star name crossed with a martial arts and/or mystic shit name. Something like [rock star first name] [martial artist last name] or vice versa, where the the rock star's name is a little like the martial artist's. Male preferably, though I can probably work with a female equivalent with a little modification of the character details - and if the name is right it's often possible to turn a female star into a male.
Several hours later: Decided to go with Jean-Claude Van Halen, with a note that he "...isn’t the only martial artist with an interest in music. Several of the most famous Sudoku masters have a background in the art and incorporate it into their fighting styles. These include Obi-Wan Bonjovi, Joan Jet Li and of course the legendary Chow Yun Fat Boy Slim."
Many many thanks to everyone who made suggestions - apologies that I couldn't use them all.