What if you could use your phone to type in text fields when playing docked?
I dunno about other people but I play docked a lot, and typing with a controller is near unbearable sometimes. I specifically had this thought because I was playing webfishing from my couch and thought it would be nice if I could pull out my phone and open the steam app, or maybe they could make some kind of steam deck companion app for this and other features maybe, to quickly type a message or just make typing easier. I dunno if this would be difficult to implement or even possible but I think it would be neat.
If you're looking for a companion app, you might want to try KDE Connect. You can pair the mobile app to your Steam Deck to allow for keyboard/mouse remote input and a bunch of other cool features. There's also a Decky plugin for KDE Connect in Gamescope.
It didn't work for me last time I tried, but yeah, it could have been fixed by now. It's definitely the right direction to try, it's the perfect solution for OP.