Place black-eyed peas into a large container and cover with several inches of cool water; let stand 8 hours to overnight. Drain and set aside.
Cook pork necks and bacon in a Dutch oven over medium heat until lightly browned, about 5 minutes.
Stir in onion, celery, and carrot; cook and stir until softened, 6 to 7 minutes. Stir in garlic and cook 1 minute.
Pour cold water and black-eyed peas into pork mixture; increase heat to high.
Stir in bay leaf, thyme, cumin, black pepper, and cayenne pepper. Bring mixture to a simmer, reduce heat to low, cover, and simmer for 45 minutes.
Stir in tomatoes and salt. Simmer uncovered until beans are tender, about 40 minutes.
Remove neck bones from mixture; separate any meat from bones, return meat to Dutch oven, and discard bones.
Stir in diced ham and kale; cook until greens are tender, 10 to 15 minutes. Serve over rice.
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