1. Push wooden sticks into the top of chilled apples. Return apples to the refrigerator until caramel is ready for dipping.
2. Place sugar, corn syrup, and water in a large saucepan; boil, stirring until dissolved. Boil, without stirring, 9 minutes or until light golden.
3. Combine half-and-half, vanilla, and salt; slowly stir into pan. Boil until candy thermometer reaches 235° (45 minutes), stirring frequently.
4. Pour caramel into a bowl sitting in a hot water bath. Swirl apples in caramel, and place on baking sheet lined with wax paper.