Asleep at the Wheel was a swing band that used to play at a local club. I may have seen them once.

[DeusxMac]

“The band has won nine Grammy Awards since their 1970 inception, released over twenty albums, and has charted more than 21 singles on the Billboard country charts.”

I remember some friends having their eponymous album back in college, but never saw them myself. Did see Dan Hicks who also played some in that Western Swing vernacular.