CD player

I mainly stream music but do have a considerable jazz and classical music CD collection which I like to listen to on occasion. My CD player is a NAD C515bee. I run it through analog connection or as a transport vis Schiit Modi 3 DAC. To my ears I prefer NAD internal DAC which appears more open and dynamic but also harsh. I am considering getting a better CD player but would prefer to stay between $600 and $1000. I am looking at Rotel C11tribute, Marantz 6007CD or Audiolab CDT6000 which I would use with Schiit Modi 3 DAC. I am wondering if Schiit Modi 3 DAC is good enough to use with Audiolab and which of these three choices would provide best audio results? Rest of my system is Naim Nait 5si, ML 35XTI and ML Dynamo 800X speakers/sub. Thanks