Chris,
I had a problem that resembled yours. I'm running a largish SOHO network on Google Fiber. I have an IP plan, so all of my devices have Static IP Reservations. My DHCP pool is only 10 addresses. I basically don't want unknown devices on my network.
When I first got the 8570DN, in order to get it online, I wound up disabling IPV6, turning off all services except ftp, http, https, spooler, ipp and jetdirect. I wound up having to, at that time, set the IP address and netmask on the printer. It worked fine. Haven't loaded the June firmware update (PS 4.72.0) yet, but it is on the TODO list.
I was re-arranging the network, and replacing a Gigabit Green consumer switch with a SMB class L2 managed switch. When I tried to use the printer, there was no communication of any sort with it. After spending some time with Xerox support, at the suggestion of the tech, we determined that with a hard coded IP and netmask, as well as an assigned DHCP address, things were not okay.
Things worked normally when I removed the assigned IP from the 8570 and rebooted it. When it came back up, it had takend the DHCP assigned IP just fine, and I could print. The only thing wrong is that we think that the Google Fiber Network box's last couple of firmware pushes from Google changed something that changed my setup and caused the problem.
/s/ BezantSoft