Add 9 cups of Rice Chex cereal into a large mixing bowl.
Combine 1 cup of white chocolate chips and 1 cup of caramel bits in a microwave-safe bowl. Heat in the microwave in short intervals, stirring until smooth.
Stir in 1 teaspoon of vanilla extract and a pinch of salt into the melted mixture.
Pour the melted mixture over the Rice Chex cereal and gently stir until all pieces are evenly coated.
Mix together 1 tablespoon of apple pie spice with 1/4 cup each of powdered sugar and granulated sugar.
Sprinkle the sugar-spice mixture over the coated cereal and toss until everything is evenly covered.
Fold in the crushed dried apple chips gently into the mixture.
Spread the finished puppy chow onto parchment paper to cool completely before serving.