My initial reaction would be, "Not anytime soon".
South Pacific just opened to rapturous reviews, has about a 10 mil advance and is showing sings of being a cash cow for Lincoln Center Theatre and for R + H Organization at least for the time being.
Things may change as the run winds down, but don't hold your breath.
As many a hooker has said, "Why give it away for free when so many will pay for it?"
"If my life weren't funny, it would just be true. And that would be unacceptable."
--Carrie Fisher