I will second that, beans will not start to get cut here till about last week in sept, and corn normally doesn't start till about second week of oct,
But to be honest on the corn it will depend on a lot of things , like how much moisture is in it , as they measure it and harvest it once it gets to a certian point, other wise they have to spend the $$ to dry it, and most farmers prefer not to have to spend extra $$ if they can get away with letting it just stand longer and dry they way, but they also have a time scale when customers want some, thus why they will cut even if not dry enough and then dry to be able to sell

and then, pending use of corn(many state lands will do this)
they can leave corn standing till next yr and harvest it, all depends on what its being used for
by the time you plan to be in Ohio, I would expect about 70% of crops to be harvested unless it gets very wt from here on out, lots of rains, as many bean farmers are still hoping to get some growth before they get hit with frosts to start then drying,
BUt think of it this way, NO standing crops, helps get deer out of them, but having standing crops helps patteren deer, once there cut, deer change there patterens and can even move off lands to find still standing crops farther away
so its a double edge sword, to have/not have crops