The Pro-Ject audio Transport. Have not heard the Jay's MKIII but overall the Pro-Ject was just as you said. I have not found anything that worked as well in our search since I gave mine to a friend a f3ew years back.
CEC makes a very good transport not the TL-5 but up the line. We use an Audiomeca Mephisto and Metronome but the are very old now.
Closet thing to the transport and our DAC was the Cary SACD 306 player. BUT not in stock form. We installed over 100 parts in that sucker to get it to sound like reference players. Close to the best we have ever heard.
Anyone saying that they have a server that could compete is not using our DAC LOL!
Best o get something you like and have it modified with better parts quality.
BTW if you are looking to sell one PM me.