Not answering your question, but related: I mostly use my Steam Deck with a dock, TV, and controller. The only issue I’ve really had is that it doesn’t always run the fan as needed, and then the CPU will throttle when it gets too hot - with more demanding games. It happened a lot with Diablo IV and more recently with Need for Speed Heat or Palworld, less so with games like Stardew Valley, Casette Beasts or Pizza Possum. I bought an external fan that forces it to cool (https://jsaux.com/products/fan-cooler-for-steam-deck-gp0200) and haven’t had any throttling issues since. The noise is a little annoying sometimes though.
Answering your question: the above listed games are fun, and easily played with a controller.