1. With vegetable peeler or fish scaler, remove any scales from fish. With knife, cut 3 or 4 slashes, about 1/2 inch deep, on each side of fish. Rinse fish; pat dry with paper towels.
2. In small bowl, mix lemon peel, salt, and seasoned pepper. With hands, rub mixture evenly over outside and in body cavity of fish. Place fish on large platter; cover with plastic wrap and refrigerate at least 3 hours.
3. About 1 hour before serving, prepare outdoor grill for barbecuing.
4. Meanwhile, in small bowl, mix salad oil and lemon juice. Place fish in wire barbecue basket on grill. Cook over medium heat about 25 minutes, brushing fish frequently with lemon-juice mixture and turning occasionally, until fish flakes easily when tested with fork.