I hope it's safe to assume you moved the APs to different ports? Has it always done this? Or is this new behavior? Did anything trigger the failures?
Try a regular POE injector to see if the switch is shitting itself. Is POE configured for auto, or are you forcing power requirements?
I'd also suggest a real test for the cabling, something with some sort of metric aside from "yep, there's continuity on all eight pins."