Prepare a muffin pan by lining with paper liners or lightly greasing.
Preheat the oven to 425°F.
In a small bowl, stir together the crumb topping ingredients until a thick, crumbly mixture forms, then set aside.
In a medium bowl, whisk together the flour, granulated sugar, brown sugar, baking powder, baking soda, and salt.
In a separate bowl, whisk together the melted butter, eggs, sour cream, milk, and vanilla extract until smooth.
Pour the wet ingredients into the dry ingredients and gently mix until just combined.
Fold in the chopped strawberries carefully.
In another bowl, beat the cream cheese, sugar, and vanilla until smooth and creamy.
Spoon a heaping 2 tablespoons of muffin batter into each liner.
Add about 1 tablespoon of cheesecake filling to the center of each muffin.
Top with more batter until each cup is nearly full for tall bakery-style muffins.
Generously sprinkle the crumb topping over each muffin, gently pressing it into the batter.
Bake at 425°F for 5 minutes, then reduce the oven temperature to 350°F without opening the door.
Continue baking for 15–20 minutes, or until the tops are golden and centers are set.
Let the muffins cool in the pan for 10 minutes before transferring to a wire rack.