There is no documented way of doing this. A largely theoretical method is to convert your music to an internet radio stream and use the internet radio function to do what you want but it is a pain. Your best option is to rip your vinyl and the Korg plus Audiogate gives you that.
Edit to say that the above is a version of the way I managed it, but I did it in MP3 and poor quality. I used a program called stream what you hear in Windows. ADC was an old Minidisk player. The name of my stream also kept changing which required a new radio input to be set up and the old erased but someone with better skills than me, could probably fix that. So in short, SWYH to Icecast, to Roon.