The new play is directed by Kip Fagan.
New plays by Robert O'Hara and Heidi Schreck will kick off the season.
The star-studded evening will also feature Sierra Boggess, Jayne Houdyshell, and more.
The classic musical played February 5-9.
Drama Desk Award winner Rachel York will star opposite Borle as the object of his six characters' affections.