Which is the best cd player under $10k?

Add the McIntosh MCD500 to your audition list. IMO it meets most, if not all of the criteria you've listed.

Are you able to audition Audio Note gear? I do not have a specific model to recommend but in general you described their house sound...

I strongly suspect that the Exemplar mode Oppo 83 will outperform those you name for $2500.

The Electrocompaniet EC-1UP comes up for sale used regularly on AudiogoN. This is the finest CD player I have ever heard, and I have heard plenty, including many machines two and three times the price of a new EC-1UP. It sounds exactly as you describe your dream player. Used you could probably buy three of them for $10,000.

The AMR-CD77 looks extremely well engineered, but it's reliance on out of production old stock parts & especially it's lack of a digital output is an issue as I have a Vimak DS-1800 mk2 dac which is one of the best Delta Sigma dacs ever made. The worst part is (and something doubtless AMR didn't think of) is the lack of a digital output means you can't even plug in your existing dac to compare. They're essentially asking you to believe their statement no other dac can sound better than the one in their player..
It is very heavy as well, which could be an issue on the shelve the AMR would have to occupy on my rack (the top shelf) because of it's top loading drawer.
With the above said, i'd be interested to see how many votes the AMR gets...