Not sure this is appropriate for diabetes per se, but I went on Atkins for 10 weeks a couple of years ago, and switched out the milk in my 3 cups / day of coffee for full cream. The idea there was, no lactose (no sugar / carb - it's mostly fat), so it was allowed on Atkins. Atkins was also not calorie counting, so watch out for the increase.
Obviously if your milk needs aren't just for coffee, cream isn't your answer ;-)