1. Preheat oven to 400°F.
2. Place brown sugar, corn syrup, butter and salt into the bowl with the mixer blade. Mix at speed 2 at 270°F for 14 minutes or until mixture boils; let cool for 10 minutes. Add half-and-half and vanilla. Mix at speed 5 for 1 minute; set aside to cool.
3. In large bowl stir together apples, flour, lemon juice, cinnamon, and ginger. Pour apple mixture into pie crust. Sprinkle apples with 1 Tbsp. sugar and ½ tsp. sea salt. Bake for 35-40 minutes or until apples are tender; cool. If necessary, place foil around edges of crust to prevent burning.
4. Serve apple pie with caramel sauce drizzled over pie. If desired, serve with ice cream.