Thoroughly rinse the shrimp in cold water, then pat them dry with paper towels. If using shrimp with shells, halve them lengthwise to allow the marinade to penetrate better.
In a small bowl, combine the olive oil, BBQ sauce, garlic powder, smoked paprika, brown sugar, honey, lemon juice, salt, and pepper.
Place the cleaned shrimp in a large bowl and pour the BBQ marinade over them. Toss well to coat, then let them marinate in the refrigerator for at least 30 minutes.
Preheat your smoker to 212-230°F (100-110°C). Distribute the charcoal or wood evenly in the smoker to ensure consistent smoke.
Place the marinated shrimp on a rack in the smoker and smoke for 30-45 minutes, or until the flesh is opaque and cooked through.
During the last 10 minutes, lightly brush them with extra BBQ sauce and continue smoking for a few more minutes, allowing the glaze to caramelize slightly.
Remove the smoked shrimp from the smoker and sprinkle with freshly chopped parsley.
Serve warm with lemon wedges, a fresh salad, or grilled vegetables. Excellent with toasted bread or garlic butter as well.
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