@williewonka -- Thanks for all your advice thus far. It's much appreciated.
The neutral collar is the outer metallic 'shield', correct? If so, I did run a wire from the ground post on the Shunyata to the collar of an RCA of the integrated. No effect. You mention a similar operation with the DAC?
You're right that it would make the most sense to just connect the integrated to the wall. But I like what the Shunyata does for the integrated. It doesn't suck a lot of juice so I don't think I'm losing much in terms of power. The other components are just a DAC and transport, so the Shunyata is not taxed.