Preheat the oven to 350 degrees F. Grease bottom and sides of one 9 x 5-inch loaf pan; dust with flour, tapping out excess.
In a medium bowl, whisk together cornmeal, flour, baking powder, and salt; set aside.
In the bowl of a stand mixer fitted with a paddle attachment, cream the butter and 1/2 cup of sugar at medium speed until light and fluffy, about 2 minutes.
Scrape down the sides of the bowl with a rubber spatula as needed.
Add the eggs, one at a time until just incorporated. Add the vanilla and yogurt; beat at medium speed until combined, about 30 seconds.
Add the dry ingredients and beat at low speed until just combined, about 30 seconds, scraping down the bowl as needed. Fold in strawberries.
Scrape batter into prepared pan and smooth surface with a spatula. Slice a few strawberries into ¼-inch-thick slices.
Place strawberry slices straight down the center of the loaf. Sprinkle loaf with remaining 2 teaspoons of granulated sugar.
Bake in preheated oven 55-60 minutes until golden brown or toothpick inserted into the middle comes out clean. Cool bread in pan on wire rack 15 minutes, then remove loaf from pan and cool completely on wire rack.