There is a country music club at PI. There is also a show in MK, in the saloon near the CBJ that teaches kids how to line dance with Jessie from Toy Story. And the Hoop Dee Doo , while not really country, is a lot of traditional American music.
Sorry - but no, there isn't a country music club at PI anymore...the Wildhorse Salon closed down in 2000 I belive. (I know it was open in 1999, but not in 2001 when we went back.)
It was a great bar too! Now, even the guides say, that there is no 'country music' anywhere on WDW property.