The Donmar Warehouse production of Tom Kitt and Brian Yorkey's Pulitzer Prize-winning musical will transfer to London's West End this summer.
Mr. Floyd was also an accomplished drag artist under the name KoKo Aviance.
Tim Jackson will direct a cast led by Jason Manford.
In addition to the album's title track, the record will include a cover of "My Friends" from the Sondheim classic.
The stage and screen actor picked up a Tony nomination for Merrily We Roll Along on Broadway.
The screen actor is now a stage star as she was nominated for her performance in Mary Jane on Broadway.
Will you be having a moment in the woods or will you be achieving the impossible?
Anthony Norman, Darcy Rose Byrnes, J. Elaine Marcos, Nicole Parker, and more will star in the Los Angeles production.
The project is the brainchild of Emmy winner Ben Decter and Tony nominee Kristin Hanggi.