I went through the same process of thought.

I’m using Aegis and it exports an encrypted .json backup automatically whenever I change or add something, so I can sync that backup somewhere off the phone and the desktop app OTPClient can open it directly from the backup dir.

For playing games (or for any other native app) you can use scrcpy to see the actual Android screen on your desktop and use mouse and keyboard with it, sort of like vnc.

There are a few games that are unique to Android that I like playing this way, like Battleheart or Puzzle Retreat.