Prepare grill with charcoal and mesquite chips.
In a bowl, whisk together olive oil, lemon juice, and garlic. Season with salt and pepper. Brush fish generously inside and out with garlic-lemon oil. Sprinkle inside and out with coarse salt.
Place fish in grilling basket and top with lemon slices overlapping slightly. Close grilling basked and place on barbeque. Grill fish until cooked through, about 10 minutes per side. Remove fish from basket and carefully transfer to platter and serve. Serve with Cucumber Dill Sauce. Makes 6 servings. Enjoy!