1. Arrange cucumber slices between layers of paper towels. Sprinkle with 1/2 tsp. kosher salt, and let stand 20 minutes.
2. Combine cornstarch and next 3 ingredients. Stir in soft drink and egg. Dip cucumber slices into batter.
3. Pour oil to depth of 1/2 inch into a large cast-iron or heavy skillet; heat to 375°. Fry cucumbers, 6 to 8 at a time, about 1 1/2 minutes on each side or until golden. Drain on paper towels. Sprinkle with remaining 1/2 tsp. kosher salt, and serve immediately with dressing or sauce.
Note: We tested with White Lily Self-Rising White Cornmeal Mix.