Mix Sweet-Spicy Sauce: Add the chipotle pepper sauce and brown sugar to a small mixing bowl. Whisk until the brown sugar is evenly incorporated, then set the sauce aside.
Prepare Naan: Place the naan flatbreads on a baking sheet. Lightly brush the tops with water and set them aside.
Make Lime-Caesar Dressing: Add the lime zest and lime juice to a large mixing bowl. Pour in the Caesar dressing and whisk until smooth and evenly combined.
Add Romaine: Add the chopped romaine lettuce to the bowl with the lime-Caesar dressing. Leave it untossed until the naan and shrimp are ready.
Cut Naan: Place the naan flatbreads on a cutting board. Cut them into strips, then cut across the strips to make bite-size pieces.
Melt Butter: Place a large skillet over medium-high heat. Add the butter and cook for about 1 minute, or until melted and beginning to foam.
Cook Shrimp: Add the shrimp to the hot skillet. Cook over medium-high heat for about 3 to 4 minutes, stirring frequently, until the shrimp are opaque and lightly browned.
Glaze Shrimp: Pour the prepared chipotle and brown sugar sauce over the shrimp. Stir well to coat and cook for another 1 to 2 minutes, until the sauce thickens slightly and clings to the shrimp.
Add Naan: Add the bite-size naan pieces to the bowl with the romaine and dressing.
Toss Salad: Toss the romaine and naan until everything is evenly coated with the lime-Caesar dressing.
Add Shrimp: Spoon the warm glazed shrimp over the dressed romaine and naan.
Serve: Divide the Spicy Sweet Shrimp Panzanella among serving bowls and serve immediately while the shrimp are warm.