In a medium bowl, combine peaches, red onions, tomatoes, lemon juice, 2 tablespoons olive oil, basil, mint, honey, and ½ teaspoon salt and stir well. Set aside.
Season chicken with remaining 1 teaspoon salt, pepper, and 2 tablespoons olive oil. Grill over medium high heat for 30 to 38 minutes, turning once, or until cooked through. To serve, top grilled chicken with peach salsa.