"I've looked over my DHCP IP's and cannot find the IAP-205H being assigned an IP. I have not once seen the Instant SSID come up either."
That might be your problm. It needs DHCP to bring up the instant SSID and if, for whatever reason, it cannot complete its boot it will reboot and try again untill it succeeds.
Please check if a corret vlan with DHCP enabled is active on whatever port you plug him in.
I don't suppose you have the serial cable to be able to console into the AP and see what;s happening? (grmbl at Aruba for implementing that that 'weird' console connector)