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