"This noise was constant even with the volume down to zero and occurred with either balanced or rca connectors."
The OP referred to the problem as a constant noise in the above quote. To me, that sounds like the problem may be something other than a hiss. Sometimes these type of problems are hard to explain in words, and that's why I recommended the OP check his cables.
"That is my experience. Your comments, without specificity anyway, baffle me, but I'm open to hearing about your experience when you encountered this issue in the past. And the techie stuff to explain it if you are aware. Thanks.............Perhaps we can all learn something."
Heres a specific example of a noise caused by improper cable selection in one of my systems. I have an Ayre V-5 which is balanced and a CJ Premiere 18 preamp that is SE. Sometimes I put the CJ in the system with the Ayre. If I use SE cables, I get a constant noise. When I use balanced cable, I don't get a noise. Just to be clear, the sound is a noise, not a hiss.
In my other system, I have a pair of Wilson's that are pretty efficient (94 is I remember correctly). I use a Wadia CD player going directly to the amp. In this system, I can get a hiss related to too much gain using the factory setting on my Wadia. In order to get rid of it, I need to go inside and lower the global gain with the dip switches Wadia puts there just for this purpose.
And that's it. Either way, noise or hiss, its just something I need to be aware of and know how to deal with it. As far as the techie stuff as to why this happens, I really don't know. I'm able to fix the problem and that's my main concern.