The producers and company are donating a portion of ticket sales to the humanitarian organization.
The Playbills are being distributed to ticketholders until the end of May.
The hit Disney musical, which plays the New Amsterdam Theatre, previously canceled its May 25-26 performances.
The reimagined take comes from Michael Korte and Bryson Camper, creators of viral mashups #HAM4BEY and Elphaba in the Bathroom.
The show, from the writers of Spring Awakening and The SpongeBob Musical, will make its world premiere at Houston's Alley Theatre.
The company members from this year's nominees share the rhymes that make them laugh and the imagery that takes their breath away.
The new musical made its New York premiere in April at Playhouse 46 at St. Luke's after a successful debut at Edinburgh Fringe.
Igor Golyak's adaptation of the Chekhov classic will also be available virtually.
The cast of the 2022 Tony-nominated musical performed on the late-night show May 26.