I have owned the Berkeley and borrowed the PS Audio. Without consideration of price I would pick the BADA Series 2. To me it is more refined. By comparison the PWD MkII sounds more homogeneous. That is, timbres of different instruments sound more distinct with the BADA whereas the PWD carries more of a "house sound". I was very impressed by the PWD, though. It is very clean and open sounding. Highly detailed with great dynamics, yet very smooth and relaxed. Very easy to listen to, almost soothing, without being syrupy or cloudy in the slightest.
If funds permit, I would personally go with the BADA, but I have lived with both DACs so it would be hard to take a step back. If you are going in blind then I would be surprised if you had any disappointments with the PWD MkII. If you don't have a good transport or USB/SPDIF converter if using a computer then my advice would be to save the money and invest it there. It makes a huge difference.
If funds permit, I would personally go with the BADA, but I have lived with both DACs so it would be hard to take a step back. If you are going in blind then I would be surprised if you had any disappointments with the PWD MkII. If you don't have a good transport or USB/SPDIF converter if using a computer then my advice would be to save the money and invest it there. It makes a huge difference.