Preheat the oven to 350° and grease a standard sized loaf pan.
Whisk together the dry ingredients (cornmeal through salt). Almond flour has a tendency to clump, so be sure to break all of them up.
Mash up the banana, and mix together with syrup, applesauce, and almond milk.
Combine wet with dry and mix until just combined. Add the berries and stir to distribute.
Pour the batter into the prepared pan and bake for 45 – 60 minutes. The very middle might not be fully set when the edges begin to brown. I turned my oven off and let the loaf sit in the often for about 20 minutes while it cooled. If you don't use almond meal, this step will likely not be necessary.