Hi!
Not sure if this will help you or not....my program doesn't cut out food groups, and encourages getting to 1200 calories as soon as you can. I have been at 1200 calories since week 5 or so...and I eat carbs. I made this one change years ago with Pizza. Before surgery we would get pizza maybe twice a month, and it was always overdone. Large greasy pizzas, with fries and dips etc etc and of course I would get sick from the overindulgence every.single.time lol.
I take a whole wheat pita, add some tomato sauce, pepperoni from the deli, and low fat cheese. Cook at 400 in the oven for about 15 min and it's amazing! Crispy but also gooey. Depending on what actual products you use....comes out to about 320 calories, 15g of fat, 36g of carbs, 19g of protein. Before surgery, I used to eat 3...now it is just one for dinner. And of course, you can out whatever toppings you want. It's also great for kids too because they can make the kind of pizza they want....without the price tag and all the added full fat and oil and doughy crust.
I think there are many ways to get around certain kinds of food by making modifications to your favourites! The internet has non stop recipes that can help with alternatives regardless of the kind of program you are on.