Or, if you have any yeast in the house there is always yeast batter bread. Its mixed up like quick bread so no kneading. I found a recipe on the Hillbilly Housewife that uses 2 cups of flour. Its baked in an 8 by 8 inch square pan.
I always bake my white bread at 425 degrees f for 28-32 minutes
. Have you tried different temperatures? Also, can you test competition oven for accurate temperature? I know nothing about bread competition... just my thoughts.