That's a really interesting idea! With the dual trackpads plus all standard controller inputs and the paddles on the back, the Deck is really uniquely positioned here.
You could try plugging in a monitor via HDMI. If you don't have a dock (the JSAUX one is cheap and gets great reviews, but I personally have the official one) you can get a pretty cheap USBC to HDMI cable nearly anywhere. I found some in stock at a random walmart on a road trip. Was able to plug the deck into our van's built-in entertainment system (it still blows my mind that there are now vehicles with TV screens built in).
If you do end up doing it, I'd love to see a video/blog post/whatever about it