I do have an odd meal that is just meat, but most of mine have above ground vegetables as a side salad. Saturated fats are so important for us RH ers. It not only gives you the benefits of them but also satiety, to get rid of them hunger/cravings you experience. I cannot eat cooked veg, never have, never will. Dairy will give you good fats, but again for me, I am dairy intolerant. As it seems I am intolerant to vegetable oils, all sugar, soya, and so on!
You have said, you need to supply carbs.
Do you mean that, needing carbs for your health? Or please explain.
Because, that is not true, you don't need to eat carbs, Your body will give you any glucose you need, without having to have carbs.
Controlled blood glucose levels in and around normal levels range, is the best advice I can give.
With RH, you don't have a very good first phase insulin response, and too many carbs, (very small amount) will trigger high blood glucose levels, which your body will 'react ' with an overshoot of insulin which will put you into hypoglycaemia. Not having the carbs, will stop the reaction.
Keep asking.
Best wishes.