Greens like spinach, salads, kale, cabbage. Leafy greens. Have low carbs but lots of nutrients and fiber. You think they can be absent in a healthy diet?
Fruit - who said overloading? Maybe a few every few days. Our ancestors did eat then when they could find them.
The beans have a low glysemic index(spelling) compared to other carbohydrates.
As far as greens, maybe romaine lettuce as lettuce wrap dishes..such as mix beans, tofu, low amount of lean meat, and herbs to taste..