Atkins just introduced a new plan called Atkins40, below is the link and a copy of the plan in a nut shell. Its seems doable since there are no food restrictions, you can have a little from each of the 4 phases, just stay within the 40 carbs per day.
ATKINS 40: THE FLEXIBLE, EASY LOW CARB DIET
With the Atkins 40 Plan, you can enjoy a full range of food options from every food group—carbohydrates, protein and fats—while still losing weight and feeling satisfied, never hungry! Vegetables, pasta, even potatoes? Yes! You can have it all on the Atkins 40 Plan, starting from Day One! Download everything you need to get started!
Here’s how the Atkins 40 Plan works:
Start with 40 grams of Net Carbs of carbohydrates a day. Net Carbs represent the total carbohydrate content of the food minus the fiber content and sugar alcohols (if in the product). The Net Carbs number reflects the grams of carbohydrate that significantly impact your blood sugar level and therefore are the only carbs you need to count when you do Atkins.
Eat three 4 to 6-ounce servings of protein each day. Eat 2 to 4 servings of fat each day.