Jason and the Scorchers (JATS) are a great case in point. Although front man Jason Ringenberg was originally from Illinois, the band formed in Nashville in the early 1980's. Stylistically, JATS broke new ground as a country/punk band and probably defined cowpunk as much as any other group.
Loved by critics, Jason and the Scorchers never really broke out in spite of really strong material. The short answer is that their sound was too country for rock stations and too rocking for country stations. Ironically, just a few years later, the emergence of modern country with strong rock influences would lead to a rise in popularity of country music.
"White Lies" was the main single of Jason and the Scorchers first full length album -- 1985's Lost and Found. The album barely broke the top 100, and the song did not chart on the hot 100. Jason and the Scorchers put out two other solid albums in the 1980's before breaking up in 1990. They have since reformed a few times and continue to perform.
In addition to being an innovative band that wrote great country/punk songs, Jason and the Scorchers were also known for their high energy live performances. For folks who are so inclined, here is a clip of them on Conan O'Brien performing "White Lies" around 1998.
JATS strong cover of Dylan's "Absolutely Sweet Marie" was posted on ERV in 2013.