NO SUGAR banana bread

I have been making this for Bill, using NO sugar, which works well.  (He has type 2 diabetes.)
I looked at the shelves at the store, and decided on the Stevia, which comes in sort of a lg. bag, for scooping out and baking stuff.
Although the pkg. suggests that you add some of your regular sugar, for help in rising, and browning; I wanted a recipe with NO sugar, so I substituted the cup of sugar in this recipe with Stevia and applesauce. 
Bill loves this and I have been making it into 6 large muffins, rather than the bread.
You could add nuts, raisins, etc....I just make it plain:

Ingredients:
1 C. granulated sugar  OR ( 3/4 C. Stevia & 2 Tblsp. applesauce)
8 Tblsp. or one stick of unsalted butter, room temp.
2 large eggs
3-4 ripe bananas, depending on size
1 Tblsp. milk
1 teasp. ground cinnamon
2 C. all-purpose flour
1 teasp. baking powder
1 teasp. baking soda
1 teasp. salt

Directions:
Preheat oven to 325 degrees F.  Butter a 9x5x3 in. loaf pan.   (or 6 lg. muffins)
Cream the sugar and butter in a lg. mixing bowl until light and fluffy.  Add the eggs one at a time, beating well after each addition.
In sm. bowl, mash the bananas with a fork.  Mix in the milk and cinnamon.
In another bowl, mix tog. the flour, baking powder, baking soda and salt.
Add the banana mixture to the creamed mixture and stir until combined.  Add dry ingredients, mixing just until flour disappears.
Pour batter into prepared pan and bake 1 hr. to 1 hr., 10 min. until a toothpick inserted in the center comes out clean.
Set aside to cook on a rack for 15 min.
Remove bread from pan, invert onto rack and cool completely before slicing.