Chava,
To be on safe side, it is better to apply asap. So that we will be on status. We need to maintain status, that is first thing. Then only we can proceed further smoothly.
Suppose if Govt. comes with notice saying that quota is completed, it is completely out of our hand, and we will be in trouble.
So it is better to apply asap.
I guess, the quota may complete with in next 4 to 6 weeks.
There is nothing to say that we should file before Jun 30th.
But we need to be cautious. So anyway we need to file later. Instead of that, it is better to file asap so that there is no need to analyse the same.