In a large bowl, whisk together 3 ½ cups flour, yeast, and salt. Then, add in the dairy free milk and maple syrup.
Using a spatula, fold until mostly combined. Sprinkle a little more flour if needed to not be sticky and form a ball.
Once ball is formed, grease the same bowl mixed in and place the dough ball back into the bowl. *If you are oil free, then just make sure sides of bowl are floured, or use a silicone bowl to easily get it out Cover with a towel or plastic wrap and let sit for 60-90 minutes in a warm, draft free place until doubled.
On a lightly floured surface, roll out dough to be about a half inch thick. Then using a 3.5" donut cutter, cut out your donut shapes. Then using a 1" small cutter, cut out the center. Leave to make donut holes or fold back up with remaining dough, then roll out again to cut out more donuts until no dough remains. Place each cut out on a baking sheet and then cover and let rise again for 30 minutes.
While waiting, whisk together your melted, butter, milk and salt for your glaze. Add in powdered sugar and whisk to form a smooth glaze. Add more non-dairy milk if you'd like a thinner glaze, 1 teaspoon at a time.
Heat oil up to 330-350 degree F.
Fry for about 30-45 seconds or until golden brown on each side.
Carefully remove donuts from hot oil and place on a cooling rack with a sheet pan under it to catch the oil or a towel lined plate.
Remove donuts from fryer, let most of the grease drip off. Repeat until all donuts are done. Glaze once cooled.
Serve immediately or let cool to room temperature and store in an air tight container for up to 2 days.