Prepare the dough: In a large bowl, use a fork to mix together the warmed almond milk, freshly melted vegan butter, maple syrup and salt. If baking with gluten-free flour, mix in the baking powder and cider vinegar. Next, sprinkle the yeast evenly over the top of the mixture and allow it to sit for about 10 minutes. Then, stir in the flour until a dough forms.
Use your hands to gently form the dough into a round mound. Be careful not to overwork the dough. Leave the dough in the bowl and cover it with a clean kitchen towel. Allow it to rise for 1 hour. I like to set the dough on top of a preheated oven to help it rise faster. You will know it has risen when it has nearly doubled in size. If you are using gluten-free flour, the dough will be less voluminous.
Spray a 10- to 12-inch (25- to 30-cm) casserole dish with nonstick spray. Once the dough has risen, lay it on a well-floured surface and roll it out to a 1⁄3-inch (1-cm)-thick rectangle. Sprinkle more flour on top if the dough is too sticky to roll.
Add the filling: Spread the softened vegan butter evenly onto the dough and then sprinkle the sugar and cinnamon over the top. Carefully roll up your dough into a log and slice it into about 12 equal-width pinwheels. If you are using gluten-free flour, the dough will be more fragile so take your time. If it falls apart while rolling, simply use your hands to form it back together.
Place the pinwheels into your prepared casserole dish, making sure that there is enough room for them to double in size. Cover the dish loosely with the kitchen towel and set aside for 30 minutes to allow them to rise. Set them on top of the preheated oven again if you choose. You will know they are done rising when they have nearly doubled in size. If you are using gluten-free flour, you may skip the second rise and proceed to baking.
Preheat the oven to 350°F (175°C). Remove the kitchen towel from the rolls and bake them for 30 to 35 minutes, or until golden.
While the rolls bake, prepare the frosting: In a medium-sized bowl, use an electric hand mixer to mix together the vegan cream cheese, softened vegan butter and confectioners’ sugar.
Once the rolls are done baking, remove them from the oven and wait 5 to 10 minutes for them to cool before spreading the frosting over the top. Serve warm and try not to eat the entire dish!