Since you aren't strumming, that really only occupies one hand. So put a second set of bass strings on the stick and use both hands to tap. It now plays like something between a piano and a guitar... sounds a bit like it, too.
The Stick was given a national introduction on an episode of What's My Line? by it's eponymous inventor, Emmett Stick. Sorry! I meant Emmett Chapman. It never really caught on though it has had a steady niche appeal over the years.
Nothing better to prove it's a real instrument than to play a piece of classical music... Okay, music from a classic movie. Or something. But it sounds cool, dang it!