Relaxed, musical DAC around 2k used?


I tend to differ from many audiophiles in that I am very sensitive to treble and what is commonly referred to as detail retrieval. I want something musical that is forgiving to poor recordings rather than reminding me that I’m not listening an audiophile mastered album, something laid back that gives the sense of ease and relaxation I get from vinyl.

I’ve previously tried DACs like the Chord Mojo, ifi xDSD, and Sabre 9018 based McIntosh D150 and found all to suffer from weak bass and overly emphasized treble (sparkle, air, detail) which is not to my liking. I’ve heard through reviews that something like the PS Audio Directstream DAC might be more of what I’m looking for but at the moment it is out of my budget. 

I also see things like the Mytek Brooklyn and Benchmark recommended at this price range but I fear they will have the same emphasis as the above and won’t be what I’m looking for. 

Im very open to used gear as it gives greater value. Is there anything out there for me?
128x128blorp
 In the end my junior worked great on my office system with smaller speakers. I did an AB comparison with some other gear and realized that the direct stream had more depth and spatial sound. Both decks once burned in didn’t do so well on my main system. However after using Roon and their parametric equalizer now it all sounds great. Rooms eq was able to kill the high frequencies that were bothering me and let everything else through with a bit of added base. 
You can buy a brand new Musical Paradise MP-D2 Mk III and have a good bit of cash left over.  
I still use a ps audio perfect wave DAC (mk 2) and really like it. It's smooth and natural and goes for way under your budget. I do think the bridge2 is a necessary upgrade, as that source sounds much better than all other possibilities. I tried a directstream a couple years ago and ended up rebuying a pwd.
Just get yourself a Codex... can be found for about $1100-1300 either used or as a dealer demo, and it describes exactly what you are looking for. I just replaced my $5K Luxman DA-06 with a Codex, which I didn't expect to happen (got the Codex for headphones).
I can second the Esoteric d07 as being extremely musical and relaxed.a little too much in my system tbh.
This was replaced with a Brooklyn which offers a lot more detail and depth to the music but possibly could be considered bright by some.

Now I have an Ayon s3 streamer/ tube DAC and it's first,middle and last names are musical!

Unfortunately I was able to test a Chord DAVE in my system and this took " musical"to a whole new level, as it should for $10k!.

Just some thoughts.