I've played Shaman, Hunter, Rogue, Priest. I'd say Shaman, hunter, and rogue are all pretty good soloers.

In your case, you don't have shaman as a choice, so you're choosing between hunter and rogue.

Hunter, you get a pet that tanks for you, so you rarely if ever die, so it's pretty easy to solo. Hard to take on large groups of monsters alone though.