The Staten Island company is also seeking scholarship recipients for its pre-professional summer theater program.
Scheduling conflicts have forced the revival to move the start of performances and opening night.
The annual Broadway celebration will take up residency in the brand-new Times Square plaza.
The production will now run through September at the Circle in the Square Theatre.
The new drama will see its off-Broadway bow this fall.
George C. Wolfe is set to direct the Broadway-bound production.
Composer JT Harding has written a score featuring his country hits, made famous by Kenny Chesney, Jake Owen, and more.
The play will kick off A.R. Gurney's Signature residency.
Harriet will be presented as part of the New York Musical Theatre Festival.