Stephen, looking at the system in your profile, I think you need to choose between one of two possible routes. Either improve the PC based setup you already have, and rip and save your CDs to a drive on your computer, or get a NAS and a streamer. The latter option is going to be well above your stated budget if you go down the Naim route, although you could get a NAS and a cheaper non-Naim streamer.
For the former PC based option, you could rip and store your CDs on the PC using DBpoweramp software, and either the internal hard drive, or a USB drive. Then add a Naim V1 DAC, which is very much designed for computer sources. If you get a used V1, you could do this within your budget.
If you want to be free of the computer, I would also consider an Innuos Zen. This will rip your CDs, store them, and play them into your existing DAC, or a V1, or a Naim streamer. It will also play from Tidal, Qobuz and Spotify.