I'm not the biggest country fan. I like some, but you'll never catch me listening to a contemporary country station. Give me some Willie or The Man in Black. But if it just sounds like Top 40 with a twang, I'll pass.
But within that genra, what I really like are the old cowboy trail songs; "Home on the Range" and the like. Think Gene Autry, Roy Rogers, Sons of Pioneers, Marty Robbins, Slim Whitman, etc. There are some great songs like "Tumbling Tumbleweeds" and "Happy Trails." But amongst my favorites are any of them that feature a good cowboy yodel.
If you want to get your hands on a good collection of cowboy tunes, check out the band, Riders In The Sky. They cover all of the old classics, but what I like is that their recordings sound pristine, which is nice because the old versions of these songs from the original artists are usually low fidelity. If they sound familiar, you may have heard them singing the Woody's Roundup theme song on Toy Story 2.
For this GIY Song post I'll recommend "That's How the Yodel was Born." The yodelage is off the charts.
You may not be a country fan. You may not be a western fan. And (I can't imagine why, but) you may not be a fan of yodeling. But get your hands on this song... yesterday: