The hum of course is the 60 cycle line AC voltage. Make sure that the routing of the AC power plug is as distant as possible from the stereo RCA cables.
The most likely problem is the connection of the phono cartridge to the wires in the arm. These connections usually are silver plated and become oxidized creating a bad connection. Remove the cartridge and using a fine eraser polish the connections. There is a ground connection that makes the five wire connection. Be super carfull these terminals are very easy to break
The phono connections to the stereo is very low voltage subject to interference. The connection to the magnetic pickup at the tone arm is low impedance and is inductive. Any poor connection between the cartridge up to the AV316 will produce this hum. Continue to check connections and swap cables with a known good to resolve.
I have switched the left and right cables to ensure that the cable is not the problem.
Hope this helps?
If the Nad has pre-amp out sockets that are currently connected to the power amp in the receiver. Then you can sever those link and put the pre-amp out into your Aragon inputs.
Otherwise I don't see how you can connect the amp.
If you wish to get some details; check the site linked here. Pull up older posts.
http://electronicshelponline.blogspot.com/
Search the site by type in the "brand name" to your device; (Exclude the model number), in the "Search box at the top right of the display window of the Homepage" to get gathered related posts