In the age of digital media, everybody talks about going outside the traditional album-release model and releasing new music online. Cajun rocker Amanda Shaw will be doing just that for her forthcoming album: Beginning this month she’s rolling it out one track at a time, supporting the releases with acoustic listening-room shows (including one in town at St. Roch Market on September 30).

Though it’s being released over months the album was actually recorded in a week, over the summer at Es...