If it's not too late for it to be useful, I'd like to suggest another possible source of relevant songs. There's a double-LP re-release on CD titled "Songs of Couch and Consultation / Life is Just a Bed of Neuroses". The description on Amazon says this:

Long ago, in a galaxy far, far away...the cults of psychoanalysis and psycho-babble were just a gleam in some misfits eye. Here, those pseudo-sciences are lampooned to delirious effect. The teaming of folk-cabaret chanteuse Katie Lee with lyricist Bud Freeman and composer Leon Pober resulted in the 1957 satirical masterpiece Songs Of Couch And Consultation. Numbers like Repressed Hostility Blues and The Will To Fail have, if anything, gained more traction in today's over-analyzed, over-medicated world. The LP received rave notices and even spawned a sequel, 1960's Life Is Just A Bed Of Neuroses. Remastered sound with exclusive liner notes, rare photos, ephemera and extra tracks. 35 track compilation first time on CD!

I'm not actually familiar with the songs, though I recalled the title recently.

Also, I found the first episode on the Peach City Radio website filed under Programs | Podcasts, not under Programs | On-Demand Listening.