The new drama explores the British throne after the death of Queen Elizabeth II.
BAM will feature US premieres from South Africa's Fugard Theatre and the Canadian Opera Company.
The show was scheduled to begin off-Broadway performances in February.
Benjamin Walker has appeared on Broadway in Bloody Bloody Andrew Jackson and Cat on a Hot Tin Roof.
Bret Easton Ellis' murderous yuppie Patrick Bateman will return some videotapes off-Broadway.