Looking for CD player

Why spend that much? Just get a new NAD player for around $500. IMO all CD players sound alike! I own five of them: CAL, Denon, Marantz, NAD and Sony. They were all bought secondhand and are still working reliably! They all sound fine! 

I also have three DVD players for movies that are also used as transports for a DAC (Weltion TEK Khadas). JVC, Toshiba and Sony 7000ES. All bought secondhand cheap! That's a route you can do! Just add a DAC + a Monoprice cable ($5). More choices here from the Topping D10 and up!

A $25 DVD player + $100 DAC + $5 digital cable will give you excellent and enjoyable sound! I kid you not! Don't listen to the audio snobs who only believe that you must spend $thousands for "great" digital sound! Not true!

If you want anywhere be near "the" best you need seperates. Start with a DAC you like.
I recommend the RME ADI 2 and the Cambridge CXC at your budget. Shop around you can find them both for $1500.
I’m listening to seperates right now - amazing.
Better than Qobuz on 5 diff streamers or LPs on 7 diff carts. To me.

If you want just a CD player, the Musical Fidelity M3s CD is a nice unit and can be had for $1500.  Good internal DAC and nice transport.  I have one that I use as a transport at Audio Shows. This is currently out of stock at the distributor but it looks like they are coming in next week.  

You ought to be able to find some used units in that price range that will be excellent.  An older Ayre CX-7xe is a nice unit.  The Music Room might have one listed or will be listing shortly as I sold one to them recently. 

Otherwise, a decent DAC and a transport like the Cambride CXC would be great.  Pair it with a CXN v2.  A little over your budget but I bet you can haggle down a bit.