Welcome, Jay. My husband was FFA Advisor all the years he was a high school Ag teacher. You will know your local market better than any one else. Take into account your club members and their families purchasing. I am thinking a farmer's market may have more competition. But if you can find a busy weekend, non-food parking lot (Home Depot?) and get the permissions, you would not be competing in like products.
If you have leftovers, throw a Corn-B-Q for your workers!