As much you love your AN DAC, it appears your bottleneck is AN DAC and USB converter not Zen 3. Adding Phoenix clock or Upgrading to Statement or EVO will not yield full benefits of their design if your DAC is limited to 16/44. If you want to venture into high resolution streaming or DSD downloads, get a DAC that can handle high resolution bits before you upgrade from Zen 3.
A streamer core job is to pass on digital bits natively to a DAC. Your DAC does the heavy lifting especially if you’re using USB protocol to transmit bits. IME, not all streamers and DAC created equal, a high quality DAC and Streamer works collectively in rendering qualitative benefits of a recording regardless of file resolution.
As you probably know, not every recording is going to sound better just because it’s high resolution, lot of it has to do with original master source of the file. I have heard and own many outstanding files in 16/44 and all the way upto DSD256.
Bottom line, ensure you have an audio system comprises of components that can allow you to appreciate the differences between low to high resolution files rather than focusing on which components will do better with low or high resolution files.