Italian Hoagie Salad

Name: Italian Hoagie Salad
Yield: Serves 4
Cuisine: Italian
Ingredients: 8 ounces hoagie or, sub rolls, preferably with sesame seeds, cut into ¾-inch pieces; 7 tablespoons, extra-virgin olive oil, divided; ½ teaspoon, table salt, divided; 1 cup jarred, cherry peppers, stemmed, plus 2 tablespoons brine; 2 tablespoons, mayonnaise; ½ teaspoon, dried oregano; 3 , romaine lettuce hearts (18 ounces), sliced ¼ inch thick; 12 ounces cherry or grape, tomatoes, halved; 6 ounces sliced mixed Italian deli, meats (Genoa salami, capicola, mortadella, and pepperoni), cut into ¼-inch ribbons; 4 ounces sliced, provolone cheese, cut into ¼-inch ribbons; ½ cup thinly sliced, red onion, rinsed