The Most "Analog" CD Player?

The Hegel Mohican could fit that bill as well as some ARC players. Neither sounds rolled off or lacking in terms of details. So, if you mean "analog" like big old reel to reel (not vinyl LP) tape running at high speed (30 IPS), then these are decent approximations of that type of sound IMO. At least that is what I recall based on hearing tape (Revox decks) when I was in radio a million years ago.   

Meridian 506 20 bit, just my opinion.  Also have a 24 bit but don't notice any appreciable difference.  They can be picked up on the used market.  Took about 5 years of searching to find the 24 bit that was up to standards. 

If the price is'nt a problem have a look at ayon products.......absolutely magic

That thing looks better suited for playing Laserdiscs than CDs!

Compare any direct data cd output, upsample it to 192/24 or better, convert it, then observe if you hear any difference between them.  You just might save yourself a lot trouble and money.