There are 5 songs at the link below that are "Snow White" parodies of other songs... I don't know if you can find the actual recordings of these parodies online, but it'll be easy to find the original songs that they're based on... and maybe you can find somebody who can sing along!
Good luck!
1. "Baing For The Benefit Of Miss Snow White ," Malcolm Higgins [BASED ON "Being For The Benefit Of Mr. Kite ," The Beatles]
2. "Big Snow White Ground," Larry The Other Guy [BASED ON: "Dead Leaves Durty Ground," White Stripes]
3. "High Ho (Why do you think she was called snow white)," Alex Zander [BASED ON: "Hiegh Ho," Disney]
4. "Snow White Obsession," Malcolm Higgins [BASED ON: "Midnight Confessions," The Grass Roots]
5. "Snow White," Terrance Tucker [BASED ON: "Snowbird," Anne Murray]