John,
Have you made any progress in troubleshooting the Apple TVs on the list of your iPad? I work for a K12 school system and tried installing over 100 ATVs in our HS last week. We would not see all of the devices on the list from an iPad. No two iPads saw the same list, there was no consistency. We are a single controller environment, AirGroup would show 102 devices, the most we saw on the list was 98. Many times we would see far fewer than 98.
Thanks, any feedback is greatly appreciated.