Crowe began playing the banjo early on and was offered a job with Jimmy Martin's Sunny Mountain Boys in mid-1950s. He cut his first recordings with Jimmy Martin on December 1, 1956, and his last on August 17, 1960, recording a total of 33 songs on Decca Records. In the late 1960s, Crowe formed the Kentucky Mountain Boys, principally performing in the Lexington, Kentucky region. By the early 1970s, Crowe changed the band's name to The New South and included material from rock and country music sources. Crowe's New South band is widely considered one of the most influential bluegrass groups since the 1970s. Many influential musicians have been a part of the band over the years, including Keith Whitley, Ricky Skaggs, Tony Rice, Jerry Douglas, Doyle Lawson, and Bobby Slone.
Crowe took part in a brief banjo jam session on the episode "Sawmill Slasher" of the Animal Planet television series Call of the Wildman. On September 6, 2014, Crowe came out of retirement and performed with Wildfire at the historic Lincoln Theatre in Marion, Virginia, for the Song of the Mountains PBS program. He has also been featured on Tim Farmer's television show, Homemade Jam.