S/N ratio Balanced input vs. Unbalanced input

What happens if you disconnect the DAC from your amp? Hiss still there?

No more hiss if DAC is disconnected

If hiss comes from the DAC and is independent of the volume pot, then likely DAC is injecting some electrical noise into amplifier.  I wouldn't worry about it, since not too many amps are completely quiet with the ear on the tweeter.

I wouldn’t worry about it but I would be curious. Even if not so loud, the hiss should not be there. I am allergic to anything that gives more digital glare, and the hiss may be a suspect, even if not much notable by itself when playing music in the listening position. So I would wonder, why does this happen. Does the DAC behave that way with other amps also? Are you sure other sources into the amp don’t give the hiss? You’ve said its the same from xlr and single ended inputs. If you have switchable inputs between sources on your amp - the same across these, also? The fact that the hiss does not vary with the volume level makes me pause. Something wrong in the DAC? Or mismatch, amp / DAC?

I just tested in my secondary system, with a Ming Da integrated amp, with a few small DACs including the Fiio x3 and Huawei p30. Aurum Cantus speakers, with top notch ribbon tweeters well able to tell me what goes on. No hiss, but some hum. Varying with volume. Below the "worry" border, though - only heard clearly at max volume.

since hiss is not volume cntrl dependent, you may deal with EMI issue. 

adding "Cable Clamp Clip RFI EMI EMC Noise Filters “ to analog bal/unbal cable, close to the amp inputs,  sometimes helps.