So sorry to keep you waiting here.
We did have an import/export feature that was added by another developer using YAML and not XML. I just checked and it looks like the export part of that feature is not working as intended at the moment.
Let me check with the developer of that feature and ask him about it. I’ll get back to you shortly.
Alternatively, you could export the post type using WordPress own export feature and import the post type on the other site as XML and see if that works. I would try it in DEV or STAGING first and not a live site.
I haven’t heard back on this in a week, so I’ll close this out. Exporting the Post Type and importing again on the other side, as long as Radio Station is installed and active, should work for you.