Preheat oven to 350°F and line a baking sheet with parchment paper.
In a medium bowl, whisk together all-purpose flour, baking soda, and baking powder. Set aside.
In a large bowl, beat the softened salted butter, granulated sugar, and brown sugar together until light and fluffy, about 2-3 minutes.
Mix in vanilla extract, and then add the egg, beating until fully combined.
Gradually add the dry ingredients to the wet mixture, stirring just until combined. Avoid overmixing.
Gently fold in the chopped strawberries and white chocolate until evenly distributed.
For the crumble topping, in a small bowl, combine light brown sugar, all-purpose flour, and the 1 ½ tablespoons of the ground freeze-dried strawberries. Grate in the slightly frozen butter, and mix until crumbly.
Using a cookie scoop or tablespoon, drop 3 tablespoon size cookie dough balls onto the prepared baking sheet, spacing them about 2 inches apart. Gently roll the tops of each cook in the crumble. Place back on the sheet pan. Sprinkle the remaining crumble topping over each cookie dough mound, pressing it gently into the dough.
Bake for 12-14 minutes, or until the edges are lightly golden and the centers are set. Allow the cookies to cool on the baking sheet for about 5 minutes before transferring them to a wire rack to cool completely.
Melt the remaining white chocolate in a small microwave safe bowl in short intervals until smooth. Mix with the remaining ground freeze-dried strawberries. Pour the mixture into a ziptop bag. Snip one corner off, and drizzle the icing evenly over the sides of the cooled cookies. Allow the cookies to set undisturbed until the icing has cooled and set. Store in an airtight container with wax paper between each layer until ready to serve.