In a large skillet, heat over medium heat and add the ground beef. Break it apart with a spatula, cooking for 7-10 minutes until browned and fully cooked. Drain excess fat and season with salt and pepper.

In a mixing bowl, combine 1/4 cup mayonnaise, 2 tablespoons ketchup, 1 teaspoon mustard, and 1 tablespoon relish. Stir until smooth and creamy, then chill in the refrigerator for about 15 minutes.

Lay out tortilla wraps and spread a generous tablespoon of the chilled Special Sauce onto each wrap. Layer the cooked beef, lettuce, cheddar cheese, pickles, and onions.

Fold in the sides of the tortilla, then tightly roll from the bottom to enclose the filling. Ensure ingredients are snugly packed inside.

Slice each wrap in half diagonally with a sharp knife and serve immediately or store in an airtight container.