Can’t you just use the PowerLink from the Core to the BL50? It is one of the speaker options for the Core in the B&O app. I would assume the DAC on the Core would be exactly the same as the BL50. I use mine quite a lot with the Eclipse Remote for TuneIn radio or to stream from my phone using AirPlay without turning on the Projector. My set up with the Core is Apple TV 4K connected to my Projector, the Projector to Core using Optical and Core connected to BL 11 via PowerLink, which is connected to one of the BL 6000s which is then wired to the another BL 6000.
In my case, adding the Core makes a big difference compared to connecting the BL directly to the projector or using a Bluesound Node 2i (which I have also tried).
Initially when I got the Core/Eclipse I didn’t use the remote much. But now, I see how well they work together.
Just saying since you mentioned you are looking for a seamless system and the Core might help. My 2 cents...