I have almost the same system and went with the Cary because it seemed like more tube rolling (sound tuning) options, tube rectified, separate power supply, talking to people and cost. The remote is way over kill if just using for 2 channel. Wish Cary would offer a minimalist remote option.
Sound-I have a few hundred hours on it and really enjoy the improvement in bass, soundstage and midrange over my Rogue RP7.
I never listened to a Ref 6 but would buy the Cary again. I don’t think you can go wrong with either.
I too run a Bricasti M3, AGD Audions (class D) and moved from a Rogue RP7 with NOS tubes. The Cary enhanced the sound in all the areas I was wanting. I feel like I’m finally hearing my Joseph Audio Perspectives. Sorry for rambling. Reach out if you want to talk about “specific” detail.