[here I go replying to my own post again <sigh>]
Peace at last - I just couldn't get this tune out of my head.
The tune is "Love Me, Hate Me" by Bryan Evanz from the album "Dead Man Walkin'" released April 9, 2013.
I found it on the first try using the "Shazam" iPhone app. I had been using the less expensive Soundhound and Music ID music identifier applications -- neither of which were able to identify the tune.