You can do it with the Biab Plugin in Reaper with ReaTrak.
You can get your chords in by opening the SGU in the Biab Plugin the "Biab Plugin Chords" button.
Then you can open another instance of the plugin just entering the chords you need for the bar,
drag that section into Reaper splitting the sections.

I could probably script it to do all the tracks at once automatically.

See Dropbox Video