I have a 47 Labs Shigaraki that I play with whenever I do CDs. Nevertheless, whenever I get CD, I load it and rip it in my MacMini and I either listen to it in my Ipod or play it via an external USB DAC to my headphone set up.
In perspective, I think that the Shigaraki will be the last physical transport that I will have because I see that the end of the physical CDP is coming. The only reason why some CDPs are made is for overseas consumption, as many Audiophiles have embraced PC transports fully.
Most affordable CD transports will have their compromises and I just do not see myself dishing out 1K or more on a physical transport that is bound to fail sooner rather than later (many newer transports use CHEAP mechanisms that simply have a finite lifespan), thus you sort of have to wonder why pay for a chassis.
If you have not tried a PC based solution, you should try. It will cost nearly as much as a midrange CDP transport. If you have your own DAC, it will be cheaper.
I say, when it comes to PC based transport I would AVOID wireless set ups from the beginning, hardwiring the computer to the DAC will guarantee that you will have 0 frustrations when signals go missing or you are having hard time make the sound stable. In my opinion, the most direct relative to a physical CDP is a hardwired PC based solution.