The New Jersey theater will hold an open-call audition on February 15.
Producers hope to announce a new New York City venue for the bio-musical in the coming weeks.
Broadway alums Christine Lahti and Richard Schiff were also overlooked by the D.C. voters.
Special events featuring cofounder of the New York Asian Film Festival Grady Hendrix and Wing Chun instructor Sifu Allan Lee have also been announced.
The solo work will play Manhattan Theatre Club's Studio at Stage II.
The annual event will take place on March 31.
The induction took place during a ceremony on January 27.
Nominations have been announced for the 45th annual awards.
Gener is in stable condition at St. Luke's Hospital after undergoing brain surgery. Police are investigating the attack as a possible hate crime.