Apple TV doesn't have a way to stream the Super Bowl directly, but if you have an iPad, you can use the NBC Sports Live Extra app and AirPlay to beam the video to your television. Once you have the video running, swipe up from the bottom of the screen to bring up Control Center, then hit the AirPlay button to connect with Apple TV. (Apple's website has further instructions.)
Alternatively, you can set up AirPlay mirroring on a Mac to stream the game from the NBC Sports Live Extra Website. Just look for the AirPlay menu on your Mac, or turn to Apple's site if you need further instructions.
In both cases, you should plug in your device to avoid battery drain, and disable screen lock to avoid any interruptions in the stream.
With all of these possibilities, hopefully you can find some way to watch the big game even without a cable subscription. If not, head to your nearest bar; you'll probably need it after you've exhausted every other effort.
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