Which SS integrated amp to choose?

The Newer versions of the Coda CSIB fit the bill quite nicely 

Take a look/listen to BAT VK3000SE.  It meets your requirements except for two tubes on the input side.  I use mine with Sonus Faber Cremona floorstanders.  It outperforms my prior integrated, a Hegel H200, and performs well compared to my previous separates including Pass, ARC and Pass Labs.  Music Direct carries them as I believe they took a financial interest in the company a few years back.

Thank you all so much! With your help I've got few important ideas for my search and models to look for and listen. But I'm still wondering if anyone has experience with mentioned Gryphon models? There are few realistic reviews of Diablo's, but not so much about Atilla and Callisto, plus the fact that Gryphon name itself is somehow mystic meaning that all references are great, but mostly from reviewers...

Sorry guys, to be fair there is a lot about Gryphons here, so I have to do my homework first :)

I don’t believe you are going to find many of these amps second hand for 4K. I’m amp testing right now. I heard the Hegel 390. It ticks all your boxes. 6k new. I’m hearing the Mark Levinson 5805 and the Krell 300i today. Those would have to be 50% off the new price to be 4k. Gryphon? Good luck. Pass INT60 is 11k new. Luman 507 a possibility and a nice amp. Accuphase was too polite for my taste and Mac is not not warm and super open, at least in your price range. Parasound and Unico Research meet your requirements from what I’ve read but not heard them.