1. Attach a deep-fry thermometer to the side of a heavy pan. Add enough oil to measure 2". Heat oil over medium-high heat to 350°.
2. While oil is heating, combine buttermilk and eggs in a large bowl; whisk well.
3. In a separate large bowl, combine flour, cornmeal, and seasoning.
4. Working in batches, dip shrimp in buttermilk mixture, then in flour mixture until fully coated.
5. Drop shrimp into hot oil and fry until golden brown and crispy, about 5-6 minutes.
6. Use a slotted spoon to remove shrimp from oil and transfer to a wire rack to drain.
7. Prepare remoulade by combining Hellmann's Real Mayonnaise, mustard, relish, lemon juice, hot sauce, and seasoning.
8. Assemble sandwiches on French rolls with shrimp, lettuce, tomatoes, and remoulade.