So after a bunch of testing, it wasn't a DHCP issue after-all. My issue is apparently with 5GHz on the R7800. I disabled Smart Connect and started using 2 separate SSIDs for 2.5GHz and 5.0GHz. I still continued having the issue where the camera would drop once or twice daily when connected to 5GHz but is perfectly fine on 2.4GHz.
I have no idea what is causing the camera to only drop one or two times a day on 5GHz since it usually in the middle of the night when I would figure there would be less interference but it is working fine on 2.4GHz, so I am just going to leave it there.