I don't have a lot of country music, but am listening to
Billy Mata & The Texas Tradition, "Domino Effect." from 2006.

I picked this up at a music festival that included Billy Mata, after enjoying their set. The incorporation of fiddle and pedal steel guitar is different from most of what I listen to, but the underlying music seems very accessible. I think of this as country swing (but I don't much knowledge of that genre, so hopefully I'm not mischaracterizing it!).
Interestingly, it has a boogie-woogie based song (Roll'em Floyd) that is credited to Big Joe Turner, and is definitely in the spirit of Pete Johnson playing boogie-woogie with "Big" Joe Turner singing. Here, the pedal steel is covering the types of lines that saxophones would fill in a blues setting with a larger band.
Which then took me to the
Vanguard Records compilation "The Great Blues Men" from 1972. That includes Joe Turner and Pete Johnson playing "It's All Right Baby," which I think was recorded live at Carnegie Hall in 1938 or 1939.

That prompted me to listen to the song "Buzzin"" on the Black Top Records 1991 recording of
Rod Piazza & The Mighty Flyers, "Blues in the Dark." Buzzin is boogie-woogie piano with drum accompaniment. It is another song that seems to pretty directly descend from music in the 1930s

And that then took me to the realization "wasn't I going to do some work today, instead of posting on the Decware music forum!"