Siren, I don't think it's fair to say that Satriani is nothing but "nonsense shredding". If anything, Satriani is known for his melodies. Just look at Summer Song, the Forgotten Part II, or Surfing with the Alien. While each song does have a good deal of shredding, each one has a solid, catchy melody that it's built around.

Bardsley, I know what you mean about one-note-per-bar solos. I'm a big fan of Gilmour from Pink Floyd. Gilmour was about as slow and melodic of a player as they come, but he never ceased to amaze me.