Thanks for the helpful hints. I tried all 3 modes on the Freya+ and eventually shut it off, and this hiss remained. The amps gain is set to 12 o'clock, which is what it was on when I took it out of the box. Unfortunately it's a hassle to get to the back of it now, so I'll try to lower it when I have some time to move things around. But since the tubes are ruled out, I suspect its that or line interference.
The noise doesn't bother me since its nearly inaudible, and I don't listen to music with my ear in front of the speaker. This was simply something I was wanting to learn from.