How have you ripped CDs to the Mac? If you use an Apple Optical device as the ripper, it can also be used to play CDs if it’s attached to the Mac. If you then add a Wiim streamer or Bluesound Node you are under budget.
Personally I would check out a CD player from NAD or a CD transport from the likes of Cambridge Audio . I would continue to use the computer attached to a DAC as your streamer. Dedicated streamers are just networking computers that are made to look and operate like audio components. They usually have better DACs than PCs have but you said you already own a DAC. If you add a program such as Audirvana to the Mac then it works more like a streamer and less like a PC playing music and may potentially increase the audio quality