Preheat oven to 400 degrees F. Line a sheet pan with aluminum foil for easy cleanup.
Place shrimp, olive oil, and garlic in a resealable bag and marinate for 5 minutes while preparing the remaining ingredients.
Using a mortar and pestle or small food processor, combine basil, smoked paprika, turmeric, and sea salt until well blended.
Remove shrimp from bag and divide basil paste between each shrimp, stuffing the mixture in the butterfly cut in the back of the shrimp. Fold shrimp back together.
Using a sharp knife, cut the bacon strips lengthwise. Cut each thin, lengthwise strip in half.
Carefully wrap the stuffed shrimp in the bacon strips. Place on a sheet pan and bake for 15 minutes, or until shrimp is opaque and bacon crisp.