Looking for high end individual streamer & individual dac to work in tandem.

  I am not familiar with the OP current CD player.  Does it have digital inputs?  If so and since you like the sound of your CD replay then I would use that as the DAC.  I believe the OP was asked if they will be using streaming services only or burning their CDs and I don’t recall the answer.  Also, does the OP require Bluetooth, AirPlay, or Chromecast?
  The DAC is the more important determinant of the sound, perhaps 80%.  If you can’t use your current CD player internal DAC, and since you want to approximate the sound of your current CD replay, does the CD manufacturer also make a free standing DAC?  If not, perhaps contact them and see if they recommend a certain DAC.
  I really like my Bryston DAC3. I would avoid their streamers and their combination DAC/streamer.  Any specific recommendations would depend upon whether or not you need to replay ripped discs.  If so, I really like my Melco N100.

Important point above re: considering local rip quality vs. streaming quality. On my previous Naim set-up, there was quite a gap (even with Ethernet filter) between streaming via Qobuz/Tidal vs. local files. To the point where I only used the streaming services for music discovery, and could only listen to local rips for long-term listening.

In my current setup, the gap is almost non-existent. Maybe slightly more air from a local rip if I do an A/B and, but I have to strain to hear it -- it's insignificant. I still use local rips because I want to support my favorite artists, particularly young up and comers on Bandcamp, who are paid peanuts from the streaming services.

I have two Aurender streamers and there is no discernible difference between CD, ripped, and streamed files… well, only steaming can be better since so many of the files are of higher resolution. 
A few years ago this was not true.

I found a really high quality streamer is the key. I alway put every penny I can into the best possible component. Then I can listen to and appreciate it while my financial situation improves. Then I start evaluating, cables, then powercords and power conditioning. You can get small improvements from all of these… but to me, all depends on the best possible components! My streamer is very satisfying and on the same level as my analog end… I have not fiddled with my modem.

I now have two direct power lines, a power conditioner… these improve the whole system significantly. I think the ether regeneration module did a bit of good… but I bought based on reviews amid some other big upgrades.