Adjust the oven rack to the middle position and preheat the oven to 375º F (190º C). Grease and flour an 8 1/2-x-4 1/2-inch (23.5-x-12.7-cm) loaf pan. You can also use a nonstick baking spray with flour.
In a large bowl, mash the ripe bananas with a fork until completely smooth.
Stir in the melted butter into the mashed bananas; mix until combined. Add in sugar, buttermilk, and vanilla; mix until well combined.
Add flour, baking powder, baking soda, and salt; mix until just combined.
Fold in the chopped strawberries. NOTE: If desired, toss chopped strawberries with 1 tablespoon of flour to avoid them sinking to the bottom of the batter.
Pour the mixture into the prepared loaf pan. Add more chopped strawberries on top, if desired.
Bake at 375º F (190º C) for 10 minutes. Then REDUCE heat to 350º F (180º C) and bake for an additional 45 - 50 minutes, or until a toothpick inserted into the center comes out clean. Let cool completely before removing it from the loaf pan.
Make the Glaze (optional): Mix all glaze ingredients in a bowl until smooth. Drizzle the strawberry bread with glaze and serve.