I have found a more complete recording; it seems to originate from one of the promotional tapes Karen distributed around the country when trying to promote her tape in the 1980s. Apparently, she couldn't figure out how to properly duplicate the tape and add her desired commentary, so she played the tape over her sound system and recorded the music and her commentary indirectly. As a result, the audio fidelity is essentially as bad as, if not worse, than the armpit tape. Nonetheless, here it is, with thanks to Need Some Fun News and Magazine.

https://web.archive.org/web/20180907130307/https://www.youtube.com/watch?v=mYo5z8Kc_Nk&gl=US&hl=en

The first two examples of One Eyed Jacks start at 44 minutes in and runs through about the 47 minute mark. The first recording is much cleaner, but is also essentially the same excerpt as the armpit tape. The second version is by far the most complete version I've heard, but is unfortunately nearly inaudible: there's a secondary conversation going on over a portion of it. It can be heard again at about 1:43:00.

A fourth example can be found at 2:49:30, and a fifth at 3:01:30; both are the same recording as the first one.