Steep the coffee grounds in the water for 5 to 10 minutes. Strain the liquid into a pot, and mix in 2 cups of the sugar. Bring to a boil and cook until the liquid has become a thick syrup. Add the cream, salt, evaporated milk and remaining 1/2 cup sugar to the coffee syrup and bring just to a boil. Remove from the heat.
Whisk together the egg yolks. Pour in a little of the hot coffee mixture and whisk in to temper the yolks, and then pour the egg mixture into the pot. Return to the heat, stirring constantly until the mixture is nappe, or thick enough to coat the back of a spoon. Strain the ice cream base into an ice bath. Chill overnight.
Freeze in an ice-cream machine according to manufacturers' instructions. Transfer to a container and freeze overnight.
NotesThis recipe was provided by a chef, restaurant or culinary professional and makes a large quantity. The Food Network Kitchens chefs have not tested this recipe, in the proportions indicated, and therefore, we cannot make any representation as to the results.