In a large bowl, whisk together 2 quarts water and salt until salt dissolves. Add beans; cover and let stand at room temperature overnight. Drain, and rinse well.
In a large Dutch oven, cook tasso over medium heat until crisp and browned, about 7 minutes. Remove from pot; set aside.
In same pot, heat oil over medium-high heat. Add onion; cook until tender, about 5 minutes. Stir in jalapeño and garlic; cook for 1 minute. Stir in beans, tasso, stock, and remaining 3 cups water. Bring to a boil; reduce heat to medium-low, and simmer for 1 hour, adjusting heat as necessary.
Preheat oven to 300°.
Add ketchup, brown sugar, molasses, dry mustard, chili powder, and vinegar to bean mixture, and stir to combine. Cover with lid.
Bake until beans are tender, about 4 hours, stirring occasionally. Garnish with jalapeño, if desired.
Notes
*We used Camellia Brand Pink Beans.
Recipe by Louisiana Cookin' at https://louisianacookin.com/baked-pink-beans/