Preheat the oven to 350°F. Line a cookie sheet with parchment paper.
Add the almond flour, baking soda, and salt to a medium mixing bowl. Whisk to combine, then set aside.
In a large mixing bowl, combine the almond butter, maple syrup, non-dairy milk, brown sugar, and vanilla extract. Mix with a wooden spoon until well combined.
Add the dry ingredients to the wet ingredients and mix thoroughly, until you do not see any traces of flour.
Pour the coarse sugar onto a plate or shallow bowl. Use an ice cream scoop or ⅛ cup measure to scoop the cookie batter. Gently roll each scoop in the sugar, then place on the cookie sheet. If desired, use a fork to make a cross-hatch design on each cookie, or gently flatten the cookies with your palm or the bottom of a measuring cup or drinking glass.
Bake for 12-14 minutes, until the cookies look slightly dark around the edges. (They crisp as they cool, so use a shorter cooking time for softer cookies.) Cool on the cookie sheet for 10 minutes and then move to a wire rack to cool completely.