Place the shortbread cookies into a food processor and pulse until they reach a fine, sandy consistency. Transfer the crumbs to a large mixing bowl.
Add the pulverized freeze-dried strawberry powder to the cookie crumbs and stir to combine.
In a separate bowl, beat the softened cream cheese, butter, powdered sugar, and vanilla extract until the mixture is smooth and creamy.
Pour the wet ingredients into the dry mixture and mix with a spatula until a thick dough forms. If the mixture feels too sticky, chill it in the refrigerator for 10 minutes.
Scoop about 1 tablespoon of dough and roll it between your palms to form a smooth ball. Repeat until all the dough is used.
Place the balls on the parchment-lined baking sheet and refrigerate for 15 minutes to firm up.
Melt the white chocolate in the microwave in 20-second intervals, stirring between each, until smooth. Drizzle the chocolate over the chilled strawberry bites before serving.