Sorry to see the subject hijacked but for the original question, No, I wouldn't try to do that song. I'd feel ridiculous sitting behind my keyboard singing Na Na endlessly. I can not imagine a situation where I would want to do it. Madi Gras party? Saints Go Marching and a few more that people recognize and then off to the same stuff they want all the time.
IE: Are we going to do the Cuban Shuffle ? AKA-- Cupid Shuffle ! HA ! JMHP

As for drummers. I had a great duo with a drummer who sang most of the songs. I took voice lessons and began to sing a bit and when he announced he was moving from NJ to Fla. I just switched to the Korg Drum Machine I had been fooling with at home. Took it to our regular Sunday night gig and no one blinked, just kept dancing. Never looked back. I kept upgrading machines up to the Roland CR80 and then started looking into arrangers. From two keyboards, bass pedals and drum machine to one board that does it all. Ain't technology great!
I am now also gigging with a 5 piece Blues Band and enjoy the "Live" playing but damn, the drummer is loud !