Preheat a large nonstick skillet, indoor grill pan or tabletop grill to medium high heat. Combine the turkey, garlic, scallions, ginger, thyme, allspice, nutmeg, salt and pepper in a medium bowl. Form mixture into 4 large patties no more than 1-inch thick. Drizzle the patties with a touch of oil. Place patties in a hot pan or on a hot grill and cook 6 minutes on each side. Squeeze the juice of 1 ripe lime over the patties before removing them from the heat. Place the cooked patties on bun bottoms and top with lettuce leaves.
Combine the papaya, red bell pepper, red onion, serrano or jalapeno, cilantro and orange juice in a bowl. Season salsa with salt, to your taste. Pile salsa on top of the lettuce resting on cooked patties and add bun tops to the burgers. Serve with Chili Lime Avocados and pineapple wedges.