Most people have milk intolerances and don't even know it. Try the coconut milk on your cereals, in your cooking, at least for 10 days and see how you feel. It doesn't have the same protein but it's high in medium chain fatty acids (MCFAs) which are excellent for your hair, skin, and speeding up your metabolism. You'll see the MCFAs listed as saturated fat on the box, but it's good and vital fat your body is craving for!
And if you need something cold and creamy, I definitely suggest trying their coconut and chocolate flavored ice creams. They make them with both soy milk and coconut milk, but stay away from the soy.