It's called "cowpunk" and it's freaking awesome when done right.
Lookup some of the main players' offerings like
"The Legendary Shack Shakers"
"Hank WIlliams 3"
and if you want to hit the history of the genre, give Hasil Adkins, GG Allin**, and Pete Berwick a listen.
**Warning: GG Allin is definitely NOT everyone's cup of tea.
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