In a 48-ounce French press coffee maker, combine the coffee, cardamom, cinnamon, ground ginger, allspice, grated ginger, pepper, cloves, salt and water. Place the lid on the coffee press with the plunger extended. Let the mixture brew for 4 minutes. Press down the plunger.
While the coffee mixture is brewing, whisk the nonfat milk in a heavy medium saucepan over medium-high heat until very thick and foamy, 5 to 6 minutes.