Yeah, I can see it fitting in there!
"No Rain" and "Not Fade Away" should be on a poster somewhere to encourage folks to take up guitar. They both sound great just banging on ADE. "Not Fade Away" seems to sound decent pretty much no matter what voicings I use too. My daughter sings "No Rain" really well, I think it was probalby the first song I ever played on guitar that with her singing, really sounded like "music".
Beatles "Let It Be" probably wouldn't be far behind either. A little more rangey to sing, but 3 chords (two voicings on the C) and you are good. Pick up Aminor and you are sounding like a pro.
Looking back at my guitar experience to date, I think just a few lessons at the beginning would have been incredibly valuable. I think with that help, I could have learned in about a month what it took me a year to figure out on my own.