Make some coffee. Strong coffee. Then put it in an ice cube tray and freeze it. Once it's frozen, start making your frappe. Put this all in a blender and blend until smooth. Make's one smallish glass, about 1 1/2 cup. About 1 1/2 tablespoon Nesqick (Yes it's vegan. But always double-check!), about eight coffee ice cubes, and about half a cup of soymilk. Or other nondairy milk. Taste it and adjust it however you like. Tada!
Please excuse the the chair and other things in the background.