Just heard this one on Internet radio. No playlist.
Definitely '60s. Twangy electric guitar/echo chamber effect. Possibly The Ventures or The Shadows, or The Tornadoes—one of those early electronic bands.
No lyrics that I know of, but the first line of the melody sounds like Johnny Cash’s “Were You There When They Crucified My Lord?”
With regard to the remainder, the closest tune I can think of is “Sleepwalk.” Faster tempo, though.
For a second there, I thought I’d been transported back to the Bicentennial. A little more skin, and that scene could have been cut from a period porn flick; all of the men look like they’d just walked off the set of one!