If you can stream 720p YouTube videos you can stream a game to the deck. Most hotels I stay at that this is not a problem.

The steam deck uses your internet connection, it connects to your pc at home running steam and will launch the game on it remotely then it is streamed back to the deck. Obviously you need a half decent internet connection. But if you can watch a YouTube video without buffering you can stream a game.

Honestly one of the easiest fixes I’ve used is streaming from my pc at home. I’m in hotels a lot and play using hardware that would just be idle at my house.