tube DAC noise

I own the Jolida version of your Black Ice DAC, and I have had no noise issues with it.
Originally, I did swap out the stock tubes with replacements . That, may have prevented me from experiencing the same problem as you have.
I own a tube preamp, and, after two years, it developed a hissing noise. I swapped out the stock tubes with new tubes, and that took care of the noise.

My experience is that tubes have noise.  Usually not circuit topology.

No, tubes are not noisy. I have all tube equipment on my main system and four headphone amps..; no noise... none. Total of nine components.
One can get a noisy tube occasionally. Sorry don’t know anything about black ice. 

My jolida fx dac had hum issues no matter what interconnects I used. It was someplace in the rca jacks...checked them and they looked ok...I promptly sold it. Waiting for my border patrol to arrive. 

If using NOS tubes, always have them tested for noise and microphonics. Upscale and Andy at Vintage Tube noise test every tube sold. Brent Jessee charges $10.

There's no noise or tube hiss from my Audio Note DAC.