The TV would give you the ability to change the view. Have a couple of different 24 hour video loops so that it shows sunrise/sunset, clouds, storms (only if you had a good subwoofer to rumble with thunder) and then sync it to your clock.

However, I would be really impressed with a lenticular screen so that you get the 6-DoF type of view that would change the paralax view as you moved around the room a bit.