To prepare the green peppers, slice the tops off and scoop out the membranes and seeds inside.
Place a saucepan over medium-high heat, add in the tomato sauce, and lay the peppers on their sides. Cover and simmer for 5 minutes. Flip the peppers over, cover, and simmer for another 5 minutes.
Scoop 1 cup of the sauce out of the pan, but keep the peppers cooking with the rest of the sauce on the stove. Cover the pan back up after taking out the cup of sauce.
Add the sauce to a mixing bowl along with the rice, beans, cheese, basil, salt, and pepper. Stir to combine.
Uncover the peppers and (with a spoon or measuring cup) stuff the peppers with the rice mixture, then spoon some of the sauce on top. Add ¼ cup water to the bottom of the pan if it looks too dry.
Cover and cook on medium for 15 minutes more.
Plate and serve with grated cheese and black pepper on top.