Make the Special Sauce: In a small bowl, whisk together all sauce ingredients: mayonnaise, French dressing, sweet pickle relish, minced onion, white vinegar, garlic powder, and paprika. Set aside.
Prepare Toppings: Finely dice your white onion, chop the pickles, and shred the iceberg lettuce so they are ready for assembly.
Cook the Ground Beef: In a large skillet over medium-high heat, cook and crumble the ground beef until fully browned. Drain off any excess grease.
Assemble the Wraps: Place a slice of American cheese in the center of a tortilla. Top with 1/4 of the cooked ground beef. Drizzle generously with the special sauce, then sprinkle with diced onions, pickles, and shredded lettuce.
Fold and Toast: Fold the sides of the tortilla in, then roll it up tightly like a burrito. Place the wrap seam-side down in a clean skillet over medium heat and toast for 2-3 minutes per side, until golden brown and crispy.
Serve Immediately: Garnish with a sprinkle of toasted sesame seeds if desired and serve hot.
Notes
Tip 1: For the most authentic flavor, make the special sauce about 30 minutes ahead of time to let the flavors meld together.Tip 2: Toasting the wrap in a dry skillet is key to getting that perfect crispy exterior, don't skip this step!