Their good luck, partly. Straight line winds from thunderstorms have been known to lay over groups of TREES. Field corn can suffer blow-downs.
I also suspect the large fields are most vulnerable to lesser winds at the edges. Compared to the large field, your small patch is all edge.
Stand it all back up. Bring in garden soil or (even better) some good compost and plop it down at the bottom of the corn stalk. Locate the mound of compost where it will do the most good to prop up the plant. This might not be enough for tall corn. In which case, drive some stakes along the end of each row and run some twine along the row, looping the twine around the stalks to prop them up and tying it of to the stakes at each end. Or, with block plantings, run a grid of twine through the plot to prop them up. And then do the compost at the base of the stalk thing.
You are never going to prevent it completely, but to minimize the chances, hill up the corn with soil brought in from another bed or with compost before it gets more than thigh high. Make sure your soil is not short of potassium. (I give my corn extra K to help ensure strong roots and stems.)
Keep on hand materials to prop it up.
I have had no blow-downs for a couple of years, then suffered one this year. We have had some unusually strong, fast moving storms this summer.