I wouldn't expect to see a discount that is available for March (a traditional a weaker time for Broadway, though not as bad as January and February) extended into April. It's possible, but I wouldn't count on it.
That said, I wouldn't be surprised to see them issue a new discount, perhaps not quite as steep, that is valid for April and May. Hard to know exactly, but I would look for that in late February or early March.
"No matter how much you want the part, never let 'em see you sweat." -- Old Dry Idea commercial