I'm guessing we're going to see a sizable drop in storage next month >>
Do you mean gas supply dropping (as opposed to storage)? Because I don't think storage has ever dropped during April - it's shoulder season when demand for gas is lowest due to the not-too-hot not-too-cold weather.
I used to track NG pretty closely. The thing to watch in the short-term is the backlog of wells that have to be completed. The drilling has slowed down considerably, but, they were drilling at such a pace that there are drilled wells that are just waiting to be hooked up to the pipelines. When that backlog dries up (in a few months, at the present rate), I think you will see a sudden drop in supply. But I don't see this happening next month.