Prep the Salad Base: In a large mixing bowl, toss together the shredded lettuce, avocado cubes, and fresh basil. Add half of the Caesar-style dressing and gently toss to combine.
Warm the Tortillas: Microwave each tortilla for about 20 seconds to make them flexible and easy to roll.
Assemble the Wraps: Spread a generous spoonful of basil pesto down the center of each tortilla. Add the tossed salad, followed by sliced chicken, crumbled or whole bacon, and your preferred cheese. Drizzle with more dressing if desired.
Wrap It Up: Fold the sides inward, then roll up each tortilla burrito-style, enclosing all the fillings.
Serve or Sear: Serve the wraps immediately at room temperature or sear them in a lightly oiled skillet until golden and crisp on the outside.