+1 for loads of the good (and funny) suggestions already posted. Whispering Bob Harris’ shows are worth a listen for country / americana/ Austin/ Nashville sounds. A few years old, Rough Trade’s country compilation might ease you into the less trad side of things if you find that side of things appealing. Some more “non-american-country” in the following…
First Aid Kit (simple arrangements, pop production, nashville sound, from Stockholm).
the Gourds (Austin meets Compton, some good playing, worth checking their other covers).
Thomas Fraser (pretty interesting guy. A fisherman from the northern isles, listened to old 78s brought to Shetland in the 30s, recorded himself on a reel to reel, “discovered” and released 20 odd years after his death).