I'd love nothing more than for the lockdown to end, but I don't want a situation where we open society back up, infections/deaths start soaring again, and we end up having to close it down again anyway. That would be even more damaging to the economy and people's trust in how the crisis is being managed down to the local level.
You also have to consider that for the service sector of the economy, just because you officially "open" society doesn't mean people will start shopping / eating out again... This is doubly true if people resume getting sick at an exponential rate. Everyone will just continue staying away from non-essential places, and the economy will still be seriously damaged.
I would guess June 30th would be a good target to open up the economy.
That is two and a half months from now and at that point any outbreak would be very localized and we could contain it locally. It is still one month because the enhanced unemployment ends and by mid to late June the economic argument will be able to outweigh the risks from the coronavirus.
I would hate for us to open up on May 1st and we suddenly have large spikes in outbreaks again.