We like to top this salad with torn fresh basil leaves and serve it with cantaloupe wedges on the side.
Adjust oven rack to middle position and heat oven to 475 degrees. Toss roll pieces, 3 tablespoons oil, and ¼ teaspoon salt together on rimmed baking sheet. Bake, stirring occasionally, until golden brown, 6 to 8 minutes.
Pulse cherry peppers in food processor until finely chopped, 8 to 10 pulses. Add cherry pepper brine, mayonnaise, oregano, and remaining ¼ cup oil and ¼ teaspoon salt and process until mostly smooth, about 20 seconds.
Transfer dressing to large bowl. Add lettuce, tomatoes, deli meats, provolone, onion, and croutons and toss to combine. Serve.
