In a medium bowl, whisk together chickpea flour, coconut flour, potato starch, baking powder and salt.
In a small bowl, whisk together coconut sugar, psyllium, coconut milk, coconut water, coconut oil and vanilla until well blended. Let stand for 5 minutes to thicken.
Add the coconut milk mixture to the flour mixture and stir until blended.
Divide half the batter equally among prepared doughnut forms (6-count doughnut pan greased with coconut oil; they should be about half full).
Bake in preheated 375-degree oven for 12-17 minutes or until doughnuts are golden and spring back when lightly touched. Let cool in pan on a wire rack for 2 minutes, then transfer to the rack.
Regrease the pan and repeat the previous two steps with the remaining batter.
Icing
In a small saucepan set over low heat, melt coconut butter with coconut nectar. Remove from heat and stir in vanilla. Drizzle or spread over doughnuts. Let cool completely.
Notes
*Coconut oil and coconut butter are NOT the same thing. However, coconut butter and coconut manna are the same thing.