A CD PLAYER whose sound quality NOT AFFECTED by the DAC?

I am not familiar with the CD player the OP has but it sounds like a multiple disc player.  Such players were made for convenience in the pre streaming days and usually the DAC in the player isn’t very good, so it’s possible the Node 2 DAC is better.  The latest Node DAC is an improvement over previous models and we are not sure which one the OP has

.  In addition the OP seems to lack a conventional pre amp.  Some DACs have enough gain that for digital sources they don’t require a pre amp.  However I have always preferred to use a pre amp because inimo they sound better, but ymmv.  My advice would be to use the integrated amp in the closet; trying running the CD player directly into the amp, and then compare the sound to the CDP running into the Node which is the connected by analog to the amp.

Get a CD transport and be done...then you can buy a dac to suit your taste. 

As just said by @mahler123, there were very few Multi Disk Players that sounded any better than a portable player. CAL and Rotel had decent ones but any mass market unit is compromised for convenience.

I am very happy with my Rotel 1572 CDP (Balanced into my Lux) that replaced a 1072 which both easily bettered my 2 OPPO 93s

What @audioguy85 said. 

When I purchased my BlueSound Node 2i, I also purchased a Project DAC.  I tried to convince myself adding the Project DAC sounded better.  However, I noticed the bass sounded thin as compared to just using the BlueSound so I ended up selling the Project on Audiogon.  

Can you really hear a significant difference between a BlueSound and a more expensive streamer?  If so, what would I hear that is significantly better?  If so, what streamer would you recommend?