In a large heavy bottom pot or a pressure cooker, make a court bouillon with the conches, the bouquet garni, 2 scallions, 1 hot pepper, and 1 crushed garlic clove. Cook for about 40 to 50 minutes until fully cooked in a pressure cooker. Boil for a longer period of time on a stovetop if using a heavy bottom pan (this process will take about 1hr 30 mins or 2 hours). Strain the liquid and set aside.

Cut the conches into pieces. Finely mince the chives and parsley. Crushed the remaining garlic.

Quarter tomatoes and remove seeds. In a pan, heat oil, add garlic, and minced herbs. Add tomatoes and let cook until the tomatoes have released all their juices. Add conch pieces and let pan-fried for a few minutes. Add conch cooking liquid mixed with lime juice. Add 1 whole pepper, onion, and thyme. Cover and let simmer on medium heat for 15 to 20 minutes. Remove pepper before serving.