This could definitely happen, they kind of already do it except they make piano versions of songs.
I couldn't see anything with Mike singing, so they wouldn't do NRL or In Between in my opinion (unless they got Chester to sing them).
Crawling, In The End, Pushing Me Away, Somewhere I Belong, Breaking The Habit, Numb, Leave Out All The Rest, Shadow Of The Day, What I've Done, Valentine's Day, and In Pieces could all work.