It's funny how a bug can enlighten you to do things in a different way. Picture the scene, I was in the 3D world, loaded a game on the big TV, go back to 3D world and what do I see? Well the skybox is showing the emulator output instead of the sky. And I liked it. Then I realized it would be impossible to play whilst looking at the sky because the existing 'locking' system requires you to "attach" to a screen.
So what is the solution? Look at the screenshot below.
Now you can run around the world, scroll with the mouse button (a bit like selecting a weapon in a FPS game) to select the "control pad" and now you are playing the last game you looked at. Perhaps a more intuitive way of changing between running around and playing a game!
Not only that but when you can join other peoples rooms you'll be able to visually see when they are actually playing a game now. 