My personal favorite way to hunt standing corn is to find a spot where the deer are either exiting or entering the field, or walking it's edge down a fencerow or something of the sort. Then I back up about 10 rows into the corn, trim a few shooting lanes to where the deer are going to be walking, and sit right on the ground. The farmers where I hunt lose a lot more corn from coon and deer damage than I ruin by cutting a few stalks down, and because I'm trying to get rid of some of their deer they certainly don't mind at all.

Another thing you can do is look for an area within the cornfield that didn't grow and has a lot of grass or weeds in it. This is a favorite place for deer to bed within the safety of the cornfield itself, but not on the muddy ground. I do the same thing there that I do on the field edges, get a few rows back into the corn and cut some shooting lanes into the grass, then sit on the ground and wait.