Preheat oven to 325℉ Grease three 8-inch round cake pans.
Reduce speed to low. Add about ⅓ of the flour, followed by the sour cream. Then, alternate between the remaining flour and milk, allowing each to almost incorporate before adding the next. After the last addition of milk, mix batter until smooth, about 45 seconds.
Divide the batter evenly among the cake pans. Smooth the batter evenly into each pan with the back of a spoon.
Place one cake layer on your cake stand. Spread a generous, about ¾ cup, frosting over top of first layer. Repeat with remaining two layers. Spread a layer of frosting evenly on top of the cake. Then, frost the sides.
Gluten-Free Flour Blend
This recipe was tested with Bob's Red Mill 1:1 Gluten-Free Flour Blend. Replacing the flour with another brand might change the texture of the cake. Be sure to use a flour blend that contains xanthan gum. If it doesn't, add 1 teaspoon of xanthan gum to the flour. Whisk to combine. Then use as directed.