Some people are already finding a few sheds in Iowa.The only problems waiting to look for them is that squirrels will chew them up and other people might find them. I'd suggest looking for sheds in places where the bucks went to hide after hunting season. That might be some thick nasty brush next to a food source (corn field).

The morels are usually found late April to early May. Very dependent on the weather in your immediate area. There is a website posted earlier in this thread that will help you keep track of the general season. For me, I noticed a slight correlation between when the asparagus in the garden starts showing up and the morel season. Can't say that it is 100%, just a trend.