Bryston Bda3 vs 3.14 Streamer

If you can swap the BDA-3 for the BDA-3.14 for only the difference in price, then it might be worth it to get a one box solution.

Well I know if I Use the audiophilleo thru the BNC input it is superior sound to running thru the USB, pry just stick with the setup now.

Running thru USB with out it.

For an upgrade in sound quality I would just get a separate streamer and keep the BDA-3.
Something like the new Lumin U2 Mini should be nice with a good USB cable (or even AES/EBU). You can use Lumin’s AirPlay to stream from YouTube and either Lumin native app (hideous, probably just as bad as Bryston’s Moose) or Roon for streaming services.
Gives you more flexibility and keeps the potential noise makers out of your DAC  

No.  The streamer sounds good but the program that runs it, Manic Moose, makes it a non starter