+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).
[video] https://www.youtube.com/watch?v=PC57z-oDPLs&list=PLA13352F130DF5F03 [/video]
the Gourds (Austin meets Compton, some good playing, worth checking their other covers).
[video]http://www.youtube.com/watch?v=ur1N3UyT1lE[/video]
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).
[video]https://www.youtube.com/watch?v=qXvOF4TFJsA[/video]