https://www.dropbox.com/s/nnxflrcg0fn6r63/CWAPP.apk?dl=0

Make sure you are in the US or using a VPN/smart DNS since the content is geo-restricted.

I had to sideload it. While using the app the right stick on the joypad will act like a mouse. It may act funny but its workable.

Quick question: If you run the cw app on your phone and cast to the shield do you get gray bars and a picture that doesn't fill the screen? http://i.imgur.com/IYNilfY.jpg

No.

What is The CW app?