Jason Isbell breaks with the contradiction. His music is mostly acoustic, but the song-writing and story-telling is fantastic and eminently listenable.
Check some out...
"Cover Me Up" from Austin City Limits
"Stockholm" from City Sessions
"Elephant" from Sirius XM
"Flying Over Water" live on KEXP
"Traveling Alone" with Amanda Shires
And I'll finish with the fun romp, "Super 8"