I was never happy with the bluetooth solution...I tried to connect my Peloton via bluetooth directly to my Marantz 1508 AVR, the delay was unacceptable. I then used baluns to send audio over Cat6, and that was a decent result.
I ended up installing a TV and casting/mirroring to a hard wired Roku, which sends the video and the audio to my TV...the best result by far. There is about a 200ms delay between the peloton screen (which you can't turn off) and the TV/audio, so I end up covering the peloton screen with a towel since i'm easily distracted.