What about Temple of the Dog or Audioslave? There are a lot of good sounding solo songs of his online. ..like the one where he blends the lyrics of Metallica's One with the music of U2's One. ..or Prince's Nothing Compares to You (made mainstream by Sinead O'Connor)
I get it about the screaming. Tbh, Soundgarden is my least favorite of the big 4 or 5 grundge bands. But there really is a good voice in there.
The one they give so much grundge credit to that i really cant understand, supposedly kicked off the whole grundge scene (but we all know it really started in San Francisco when all the hardcore punk bands started growing out their hair, shooting up and crossing over), anyway, Mother Lovebone. They dont sound the least but grundgy to me at all. ...more like hippy dippy Blind Melony. ..