In a medium bowl, mix together ground sirloin, uncooked white rice, salt, pepper and 3 of the grated garlic cloves. Stuff peppers equally with 1/4 of the mixture then place peppers in the bottom of a deep pot.
In a large bowl, whisk together tomato juice, dried mint, lemon juice and remaining 3 cloves of grated garlic. Pour mixture over the peppers, making sure that the peppers are covered with the liquid. (Add more tomato juice if needed.)
Bring pot to a boil on high heat then reduce to low and cover with lid. Cook on low for 45 minutes or until peppers are tender and rice and meat is cooked through. Serve with Lebanese Laban Cucumber Yogurt Sauce.