Pulse freeze-dried strawberries in food processor until finely ground, about 30-45 seconds.
Whisk together flour, baking soda, salt, and cornstarch in a medium bowl.
Beat butter and 1 cup sugar on high speed for 2 minutes until fluffy.
Add vanilla, eggs, ground strawberries, and pink food dye; mix on medium until combined.
Add dry ingredients and mix on low until just combined.
Fold in white chocolate chips.
Preheat oven to 350F and line two baking sheets with parchment paper.
Place 1/4 cup granulated sugar in one shallow bowl and 1/2 cup powdered sugar in another.
Scoop dough into 1 1/2-inch balls.
Roll each ball first in granulated sugar, then generously in powdered sugar.
Place dough balls 2 inches apart on baking sheets.
Bake one sheet at a time for 8-10 minutes until edges are set but centers look slightly underbaked.
Cool on pans for 4-5 minutes, then transfer to wire rack.