I have had issues the those Cisco switches not providing enough power. Make sure that you do not have Green Ethernet turned on. Also I would try using a power injector on one of the APs that is rebooting and see if it stops.
Do the logs on the ZoneDirector say your APs are losing heartbeats and reconnect
with short uptimes (< 2 min)? This would support power cycle problems on the PoE
switch to explore further.
Use current 188.8.131.52.101 firmware on the ZD/R700s too, and turn off 5G background
scanning after it has run for a period of time (long enough for APs to all move off
original channel 149). If problems persist, feel free to open a ticket with Tech Supt.