1. Preheat grill pan on stovetop over medium-high heat. Cook patties 5 to 6 minutes per side or until no longer pink. Top with cheese, and let stand 1 minute or until melted.
2. Stir together mayonnaise and vinegar. Spread mayonnaise mixture on buns. Serve burgers on buns with basil and tomatoes.
Side Dish Directions
1. Preheat oven to 450°F. Spread pineapple in a single layer on a rimmed baking sheet. Drizzle with lime juice.
2. Bake 15 minutes or until pineapple is beginning to brown.