Preheat the oven to 375F. Add cornbread pieces to a baking sheet. Drizzle 2 tablespoons oil over top along with ½ teaspoon salt and carefully toss to coat using your hands. Spread out into an even layer.
Bake for 10 minutes, then flip the corn bread pieces over and bake for 10-12 minutes more, or until toasted and golden
In a small jar, add the oil, lime, jalapeños, soy sauce, and salt and shake vigorously to combine (see note to skip this step!).
In a large bowl, add the greens, herbs, and peaches. Drizzle the dressing over top and use your hands to gently toss to coat (using your hands to toss delicate greens/herbs/fruit will prevent them from getting bruised).
Serve the salad topped with plenty of goat cheese, cornbread croutons, and black pepper.