I viewed your audio system and it is exceptionally nice. You Mojo Audio DAC is held in very high esteem. Benjamin Zwickel (Owner/builder Mojo Audio) did publicly express a preference for high level CD transports over streamers.
You represent a good example of potentially pairing an upper tier DAC with a similar tier transport.
I use the Pro-Ject RS2T which is excellent sounding. I don’t have a Jay’s Audio CD transport but based on reviews and owner testimonials, they are excellent high quality choices. From what I have been able to gather, as good as the CDT2 MK III is, the big brother CDT3 MK III is the superior CD transport. I had read a review comparing the two siblings. The reviewer said the top model was in his opinion substantially better sounding (And he really liked the smaller (CDT2 MK III).
As you note, it’s double the cost. Given the high level of your audio system and certainly your DAC, I would opt for the CDT3. Of course this assumes you find it a comfortable budget fit. You may as well try to extract the highest degree of sound quality you can from your digital/CDs.
My strong suspicion is that the CDT3 and your DAC would yield superb sound quality as a pairing.
Best wishes,
Charles