Preheat oven to 325°F. Line small baking dish with parchment paper.
Mix dry ingredients. Add wet ingredients. Mix well. Allow dough to rest 10 minutes, so it thickens.
Scoop into a big fat jelly roll shape, and transfer dough to a piece of parchment paper, to roll out. Instead of using a rolling pin, use your fingers. Press it into a rectangular shape, 9"x6". (If you like/prefer more and thinner layers of dough, then press out your rectangle so it's longer, 12", or even more, long. Also, with more rolls means more filling, so with this option, see Notes section for making extra filling.) This dough isn't sticky and is very easy to work with. Spread with palm shortening.
Top with coconut sugar and cinnamon. Roll up: It will gently crack as you roll it, but the dough is VERY soft and tender; it is not fragile, so it's easy to just fold these cracks shut together as you go, a little like working with Play Dough, but not as sticky. Basically, don't sweat it, just smoosh back together any big cracks, ignore the others, and keep rolling.
Create a log of dough, all rolled up, with the seam to one side or underneath. You don't really need to pinch the seam shut, but you can if you want to.
Use a piece of dental floss, string or a knife to cut into four even sections. Transfer these to prepared baking dish. Press down on each one, to flatten slightly. (The final process photo below shows the cinnamon rolls after they're baked. They'll spread.)
Bake in preheated oven 30 minutes. NOW, when you take the baked Cinnamon Rolls out of the oven, they are going to be VERY soft (because of how much gelatin is in the dough). You NEED to let the dough cool so it firms up. AIP Cinnamon Rolls are lovely warm or room temp, but don't eat them hot. Once they're room temp, they can also be reheated to warm in a 275° oven for about 20 minutes. (Also, do not eat them chilled. They need to be fully room temp or warm.) Serve!
To make icing drizzle, place 1/2 cup powdered sugar in small mixing bowl. (It's okay to use powdered coconut sugar, powdered maple sugar, or powdered cane sugar, as you prefer.). Add just a little coconut milk, and stir with a fork. Add only as much coconut milk as is needed to create a barely pourable icing (it's easy to add too much; add less than you think you'll need to start). Wait until AIP Cinnamon Rolls are mostly cooled before drizzling on icing.