Place bread cubes on a baking sheet. Drizzle with olive oil and sprinkle generously with Kosher salt. Bake for 7-12 minutes, until nicely browned. Let cool completely.
Meanwhile, bring a large pot of salted water to boil. Add cobs and cook until corn is done, about 10 minutes. Set aside to let cool, then cut corn off the cob and measure out about 1 cup.
In a large bowl, combine cooled corn, cherry tomatoes, figs, and bread.
In a small bowl, whisk together olive oil, balsamic vinegar, and a pinch of salt. Pour over vegetables and bread and toss to coat. Let sit for 30 minutes to soak in, then toss in goat cheese, mint, and top with freshly ground black pepper.