Make Sea Salt Caramel Sauce and chill at least 2 hours. (This can be made several days ahead, if desired).
Combine milk, cream and sugar in a mixing bowl and stir well to dissolve the sugar. Add corn syrup, vanilla extract and salt; continue stirring until well blended.
Pour mixture into ice cream machine bowl. Process according to manufacturer directions for 25 to 30 minutes or until the consistency of thick soft-serve ice cream. Immediately pour into a large bowl and freeze 1 hour. The ice cream will become more solid in the freezer.
Layer ice cream and chilled Sea Salt Caramel Sauce in a freezer container. Freeze at least 2 hours before serving.