Curtis Holbrook will take Rapp's place opposite Idina Menzel while the former Rent star recovers from surgery.
The Tony winner is set for a special performance on July 15 in Minneapolis.
The newly minted honorees gather for the yearly Tony press junket at the Paramount Hotel.
The celebration for Tom Kitt and Brian Yorkey's new musical boasted a guest list that included Darren Criss, Michael C. Hall, and Maura Tierney.
The team behind Next to Normal returns to the main stem in this musical exploration of possibility.
The new musical is written by Tom Kitt and Brian Yorkey.
Menzel was joined by her costars, LaChanze, Anthony Rapp, Jason Tam, and James Snider.
The Grammy-winning singer-songwriter is turning her album into a stage musical.