The winner will be revealed during the awards ceremony and telecast on October 21.
A portion of the proceeds benefit the historic Los Angeles venue.
The country star has deftly navigated one trend after another in her lengthy career, with hits coming in multiple decades.
The ceremony is due to take place on 16 September, if possible, at the hallowed Ryman Auditorium in Nashville.
The playlist will spotlight “artists who span country subgenres from pop and Americana to bluegrass but stick close to country’s roots in some of their songs."
The Los Angeles museum is digging into its archives to share previously-unreleased interviews from music’s biggest names.
Other stars set to appear during the new series include Joe Walsh and Tanya Tucker.
Billie Eilish made history Sunday evening, becoming the youngest artist to win all four major categories at the 62nd Annual Grammy Awards.
This year, the star-studded event, which also features John Mellencamp and Dave Matthews, heads to East Troy, Wisconsin.
Carlile and Shooter Jennings are the co-producers of Tucker's upcoming album 'While I'm Livin','' due on Fantasy Records on 23 August.