Here is a favorite recipe for BBQ'd shrimp, of a style you might find in New Orleans, where sometimes crawfish might substitute for the shrimp. Traditional presentation would be with sauce coating shrimp with shells intact. I usually do the shelling in the kitchen prior to cooking the shrimp in the recipe. Another alternative would be to prepare the sauce only, and then cook shrimp "on the barbie" outside. Don't be daunted by the long ingredient list. Some can be left out, or have fun improvising. Thickness of sauce can be tweaked by chef too.
1/4 cup butter (half stick, cut into chunks)
4 cloves garlic, minced
1 bay leaf
1 teaspoon crushed rosemary leaves (a mortar and pestle is helpful)
2 teaspoon paprika
1 teaspoon coarsely ground black pepper
2 teaspoon fresh lemon juice
1/2 teaspoon dried basil (or 1/4 chopped fresh)
1/2 teaspoon oregano
1/2 teaspoon salt
1 Tablespoon brown sugar
1/2 teaspoon cayenne pepper
2 Tablespoons Worcestershire sauce
1/2 cup dry white wine (Gewurztraminer or Pinot Gris work well but anything tart is fine).
2 pounds large shrimp (can be in shell or peeled, as you prefer).
In a large wide skillet, melt butter and saute garlic on very low heat for two minutes only. You don't want the garlic to brown at all. Stir in bay leaf, rosemary, paprika, black pepper, lemon juice, basil, oregano, salt, brown sugar, cayenne and Worcestershire sauce and cook for 1 minute.
Increase heat to medium, add shrimp and shake to coat with seasonings, about 2-3 minutes. Add wine, heat, being sure to not overcook shrimp. Serving suggestion: in bowls with sauce poured over with crusty french bread on the side.