'Did She Mention My Name' is a good choice.
'High and Dry' is another one that is not too hard, and fun to sing along also.
I like to sing along to "Softly" too. The only hard part is all the vibrato in that song, I can't quite pull that off. I'm not really *good* at singing anyway, but that doesn't stop me from doing it, much to the dismay of my family and co-workers! LOL