I have hundreds of CDs and am contemplating purchasing a single CD Transport.
I wouldn’t do that. In this day and age IMHO you’re much better off buying a server where you can just load all your CDs into it, hook it up to your NAIM via its digital out and just don’t bother with spinning individual discs anymore, which really seems silly at this point especially when you’re used to streaming and there are excellent viable alternatives that’ll let you have access to all your music from your chair in any order (or playlists) you wish. An Innuos Zen Mini Mk3 is right near your price range (or less used) that you can just load all your CDs into via it’s own disc drive, hook it up to your NAIM via digital interconnect and you’re done — no more spinning individual discs. And you can add their linear power supply later for a significant sonic upgrade for about $500 used. You might even find with the upgraded LPS and the Zen Mini you prefer it for streaming versus the NAIM and just use the NAIM for a DAC. So many options. FWIW, and best of luck.