The Fringe Festival production gets a new life off-Broadway.
The Tony-winning actress will be joined by Grammy-winning composer Billy Stritch.
The dark comedy is currently being presented at Chicago's Steppenwolf Theatre Company.
Mirren is expected to star in the New York transfer of Peter Morgan's drama The Audience.
The Tony nominee's new play will open at the Scranton Shakespeare Festival.
A revival would mark the musical's first time on Broadway since the short-lived 1997 premiere.
Curtis Holbrook will take Rapp's place opposite Idina Menzel while the former Rent star recovers from surgery.
Naomi Wallace presents the US premiere of her play about imprisoned teens.
Original Pippin John Rubinstein extends his run with the Broadway revival.
Previously announced cast members also include Annaleigh Ashford, Rose Byrne, Kristine Nielsen, and more.