Gad, I understand what you are saying about Sabre based DAC's. I was also looking for a very analog sounding dac with a warmer edge. I have heard several high end DAC's- Bryston BDA-1, Exogal Comet, Exasound E22, W4S DSDse with femto clock, Hugo Cord, PS Audio Direct Stream (I have heard all these with your AVA amp and Preamp) and I have owned the Marantz NA-11s1, the new Cary Audio 200ts which has both a tube and SS output stage that you can switch between. I have also heard the Bricasti M1 which is best that I have heard.
The Marantz, Hugo and Luxman are the most analog sounding of the bunch ( if you do not include the Bricasti). I loved the detail and texture of the Marantz the best but it's sound was too forward and it had too much bass in my system. I am getting a little off topic hear but my point is that the Hugo was the most analog with the right amount of warmth and musicality of all the DAC's that I have heard with your gear. You won't get that razor sharp detail and resolution that you get with a Sabre based DAC but you will get a more natural sound that is easy to listen to.
I was in the same situation as you. I wanted a DAC that was analog sounding with some warmth and happened upon the Luxman and I was lucky enough to find a guy on the Audio Aficionado forum that has one and lives in the Twin Cities. He brought it over for a listen in my system.
If you go with one of the Chord DAC's, consider buying a Regen. It will be the best $175 spent. I got to hear one in my friends AVA system with the Hugo. I heard the system with and without the Regen. The Regen added a blacker background and slightly darker sound with more detail. The sound was smoother and a bit more musical.
Good luck in what every DAC you choose,
Larry