Kammala jumla mai zuwa: Daga 1952 zuwa 1955, Carmouche ya kasance alkali mai shari'a na Kotun Gundumar Amurka don Yankin Yammacin Louisiana. Ya kasance daga 1955 zuwa 1984 mataimakin babban lauyan jihar a karkashin Fred S. LeBlanc, Jack P. F. Gremillion, da William J. Guste. Carmouche ya kasance wakili ne ga duka
1956 da 1960 taron kasa na jam'iyyar Democrat. A shekara ta 1960, Carmouche ya yi aiki a kwamitin dandalin jam'iyyar kuma ya kasance dan takarar mai nasara ga tikitin Kennedy-Johnson, wanda ya sami kuri'un zabe goma a Louisiana.