Not an electrician , not going to advise on safety grounding or component grounding. But I think the source of the noise you hear might be your laptop power brick. Or another power brick nearby- TV? etc etc Unplug it totally from power, unplug usb from the DAC and play music laptop on battery , or even better chromecast from a phone app into DAC.
Unplug as many other electrical components from the wall, one at a time, until the interference stops. Bear in mind it can take a few seconds for the bricks once unplugged to release all charge therefore noise.
Find the noisy culprit (unless of course its the DAC or amp brick) and move as far away from all the audio kit as possible .
I had a similar issue , sounds like the bad old days of mobile phones clicking and humming, but was coming from the laptop brick. Pretty sure the headphone cable can act as an antennae which migh explain why you hear something without anything plugged into mains
Like I say, I am the least tech person out there , but thats my experience.