I would like to try Gryphon.Audiopie, somehow I look at your collection of fantastic audio...and I hate to see you break it up into a protracted game of Tetris...constantly flipping, substituting, re-shaping a system of already great components.
The issues you identify do not pinpoint a particular 100% dead-certain weakness...but I do look at your amp/speaker combination and wonder whether you might try 2 very simple options FIRST just to see if this inter-link is where you wish to focus in the chain:
1. Try a Class A beast in your existing system. Gryphon comes to mind as another member said
2.Try a more efficient speaker with your existing system. Goebel Noblesse at 95db 4ohms? Rockport Lyra seems intuitively like a great sound here....but I dont know if (even at 90db efficiency) you are going to be able to really test drive them to their fullest with the Bernings.
Noblesse is an amazing speaker, with an amazing price to match. I do have to keep form factor in mind also as we will move in two years or so and I want something easily accommodated and easily moved without too much hassle. I don't remember whether or not I have heard the Lyra, but I have heard the Atria II, Avior II and Cygnus (many times). While very fine speakers, they just didn't give me the goosebumps that others do. I'm not sure I could tell you exactly what it is about them, I just know that they weren't for me, at least not with the electronics used in the demos (Boulder most often, but others also) I'm not alone in this opinion, several others, who's ears I respect, were of the same opinion. Maybe the Lyra is differennt.