Trending on Billboard When Amazon asked Carter Faith to record a version of Faith Hill ’s “Let’s Go to Vegas” to promote the Academy of Country Music (ACM) Awards’ return to Nevada, she delayed a flight to Europe several days to accommodate the opportunity. Since their Faith-based names overlapped, Carter felt an affinity for Hill growing up, and the chance to do a song she associated with one of her heroes was too good to pass up. “When you’re younger, you feel connected to people for random things, and that was one of the things for me,” Carter says. “They asked me to sing that song. I was like, ‘Hell, yeah, I’ll cut it.’” She had been forewarned that she did not qualify for the ACM’s new female artist trophy. The rules on the Academy’s website indicate that, among several other factors, an artist has to have earned a top 50 single, and Faith had yet to issue a song to radio.…