With all respect, IMHO you may be asking the wrong question. I have a pretty good analog system, but the last thing I want from it is to sound like what most people describe as an analog sound. I want it to sound like music, the kind I hear when I listen to instruments free of loudspeaker enhancement. There are many options that will do that job.
Of course, you may not agree, and it's your money. People here have described their "analog" sounding DAC as giving "a relaxed presentation," "allows body relaxation," it "allows my body to relax" and even that it gives "the ability to go into a kind of meditative state." Well, that's not what happens when I go to a concert. My pulse usually goes up, not down. But if that's what you want, you'll get many suggestions.