Watch the Western Swing: Solo 2 online guitar lesson by Joe Dalton from Big Twang
To get a nice round tone, I like to use the combination of the bridge and neck pick ups when playing multi stops. The chords I use on the second chorus require the pick and finger technique from the picking hand. I use a light touch.
The sounds you hear on the second chorus are reminiscent of C6th pedal steel guitar neck. This is the neck many steel guitarists use for the jazzier sounds. The last chorus is a good example of how to craft a solo. Listen for the quotes of the original melody. This helps the listener identify the solo as belonging to the song. I also make certain that there is a little flashiness there with a few faster scale passages. Notice the blues influence.