I wouldn't want to disturb the nesting hens.
One time I was packing out a nice gobbler just about 12:00 and sure enough, I flushed a hen...checked her area and saw about 10-12 eggs. I left immediately.
I wanted to check later that summer to see if there would be egg shells indicating a hatch, but I never got around to it.

Aren't there some plains states that offer all day hunting?

sounds like it would be lots of fun as long it didn't interfere with the biological health of the turkey population.