Someone made this excellent tip in another thread:
asy1mpo wrote:If you want the full version, what I do is go to the Radio X player and Listen Again and to the episode you want. I then view the source and search for .mp4.
Its the one starting http that you will want
e.g. audioUrl: 'http://fs.geronimo.thisisglobal.com/audio/41d7c10ad6ba4813b8578dc0119364ed.mp4'
Just copy that into browser and then either listen in the browser or I save it myself - just in browser File-> Save Page As.
I also just literally change the extension to mp3 from mp4 - so it opens in my audio player rather than the player I use for videos.
Not only can you download the file in Chrome at least I can just copy-paste that URL into a new browser tab and get a minimal player. I haven't listened more than a couple of minutes but fingers crossed this might alleviate the hassle of using their crummy streaming player... the underlying MP3 file is fine. You also could just download this as the unedited show if you don't want to record it (or do both). This way might also track as a play for their stats, which is preferable.