In a large bowl, whisk together the sugar, brown sugar, salt, and coconut oil until combined.
Whisk in non-dairy milk and vanilla, until all sugar has dissolved and the batter is smooth.
Sift in the flour and baking soda, then fold the mixture with a spatula, being careful not to overmix.
Fold in the chocolate chunks evenly.
Chill the dough for at least 30 minutes.
Preheat oven to 350°F (180°C).
Scoop the dough with an ice cream scoop onto a parchment paper-lined baking sheet. Be sure to leave at least 2 inches of space between cookies and the edges of the pan so cookies can spread evenly.
Bake for 12-15 minutes, or until cookies just begin to brown.