CDP or DAC?

Both work equally good just a matter of preference but if budget is a problem just go with the transport and dac because it leaves you with more options and price points.

In the price range up to $15K you can get a excellent sounding digital system with CDT & DAC.  The Pro-Ject audio CDT is an excellent source.  There are a few reference DACs that will compete with your vinyl rig in that price range.  The R2Rs DACs can be something special but just because there is an R2R does not mean anything if not if utilizing a proper design.  In our comparisons the 6SN7 Sabre chip DAC sounds just as good as our DHT R2R DAC , it is a much simpler design but just has a different flavor to the sound.

Happy Listening.

"Unless you just like futzing with physical media there is no fundamental benefit."

Well, I guess I'm old-fashioned and clearly, the "futzing" and the "benefit"
 are in the mind of the beholder! 

I like books-- forget the kindle-- and I like CDs. There's something very reassuring about being able to grab a title from a wall of cds, actually hold it in my hand, read liner notes for the umpteenth time, etc.Maybe there's ritualized aspect I find comforting but I liked analog gauges on my dashboard, way back when and I can't see that in terms of ritual. 
I'd rather wash a carrot and cut it up with a knife than buy a bag of pre-washed, pre-sized, pre-peeled, ready-to-eat "karits".
 
The last thing I want is for my audio system to feel like one more damned computer interface. . .as if they're aren't enough of those that I have to contend with, already.  

Won't be long before we're all born with a keyboard implanted in one arm and a screen in the other. . . gonna have to memorize passwords for all the basic bodily functions... 

I'm in no hurry to go there ! 

To paraphrase the Kinks: "I'm a twenty-first century man but I don't wanna be here". 

this isn’t what the op is inquiring about, but to the discussion immediately below, one must remember that cd’s bear the music for the owner, like owning the music files, while streaming is hearing the music sent to you by the owner/provider

wifi, internet or lan goes down, the cdp will let you hear the music you own

if your hard drive or local computer goes down, or gets corrupted, then the music files you thought you had available can be lost

yes you can lose or damage a cd too... but in that physical form it is more durable and permanently accessible

Have a look at the www.cocktailaudio.com products. Transports, streamer and DAC (+ ripper if needed). I found them on the web by a fluke and bought the X45 Pro and it is very good.

AG 🇦🇺