@nate5532
You might try to make sure "tuner sharing" is on. Also tell it to record superbowl.
Then go to each apple tv and select the superbowl feed and select live feed on each when asked about watching live or recorded.
As long as the network is uncongested to each tv that will probably be as close as you can get...Could hit fast forward on any of them as needed to get to the "live" position if one gets behind slightly.
Good Luck! 
And yea...definitely hide the remotes... 
Or give to someone TRUSTWORTHY! 
EDIT #1
Other than that...another possiblility would be to use vlc to multicast to devices...Don't actually know if that would be anymore synced or not...
Here is how AI says to do that...
To sync a VLC feed across multiple TVs, you need to utilize the "multicast streaming" feature within VLC, which essentially sends a single video stream to all connected devices on your network simultaneously, allowing them to play the same content in sync; to achieve this, open the video in VLC, go to "Media" > "Stream", configure the output as a multicast stream, and then access that stream on each TV using VLC on their respective devices.
Edit #2
If you have a hdmi encoder like the linkpi, it may have a multicast output stream available...
Bring the CDVR stream in as a "net stream" then output it as multicast feed. View on devices with VLC
Edit #3
With VLC they have an extension apparently called syncplay....
https://www.reddit.com/r/VLC/comments/12z9ilk/looking_for_a_program_to_sync_videos_on_two/