In a large bowl, measure out 9 cups of Chex cereal. Set aside.
In a microwave-safe bowl, combine the white chocolate chips and cream cheese flavored chips. Microwave in 30-second intervals, stirring after each, until smooth and melted. Be careful not to overheat.
Stir the vanilla extract into the melted chocolate mixture.
Pour the melted chocolate mixture over the Chex cereal in the large bowl. Gently stir until all the cereal is evenly coated.
In a separate bowl or bag, combine the crushed cheesecake sandwich cookies and crushed freeze-dried strawberries.
Add the coated cereal to the cookie and strawberry mixture. Gently toss or stir until well combined and the cereal is coated in the cookie and strawberry dust.
Spread the puppy chow on a baking sheet lined with parchment paper to cool and set.
Once cooled, toss with powdered sugar until evenly coated. If the mixture seems too sticky, add more powdered sugar. Store in an airtight container.
Notes
This puppy chow is best served fresh but can be stored for up to 3 days in an airtight container at room temperature.