In a food processor, pulse the crackers until broken down into a mix of fine and flaky crumbs, 10 to 14 pulses. Transfer to a pie plate (you should have about 1¼ cups); set aside.

To the food processor, add the smashed garlic and the ham; pulse until finely chopped, about 4 pulses. Add 2 of the raw eggs; pulse a few times to combine. Transfer the mixture to a large bowl.

To the ham-egg mixture, add the ground beef and pork, 1½ teaspoons of the paprika, the oregano, ⅓ cup of the cracker crumbs, 2 teaspoons salt and 1 teaspoon pepper. Using your hands, mix until the ingredients are thoroughly combined.

Lay a 12-inch square of plastic wrap on the counter. Place half of the meat mixture in the center. Using your hands, press the mixture into a rough 7-inch square.

Place 2 of the hard-cooked eggs lengthwise along the center, then bring the sides of the meat mixture up to fully enclose the eggs and form the meat mixture into a cylinder about 5 inches long and 3 inches in diameter; compact the meat mixture with your hands to ensure there are no gaps around the eggs.

Lift the end of the plastic nearest you up and over the cylinder and wrap it securely, then, without applying pressure, roll away from you to fully and tightly enclose the cylinder in plastic.

Twist the ends of the plastic to seal. Using another 12-inch square of plastic wrap, form the remaining meat mixture in the same way, enclosing the remaining 2 hard-cooked eggs inside. Set both cylinders on a large, flat plate or tray and refrigerate for at least 1 hour or up to 24 hours.

When you are ready to cook the meat loaves, in a large Dutch oven over medium, heat the 2 tablespoons oil until shimmering.

Add the onion, bell pepper, bay, minced garlic, remaining ½ teaspoon paprika, ¾ teaspoon salt and ½ teaspoon pepper. Cook, stirring often, until the vegetables are softened, 8 to 11 minutes.

Add the wine, bring to a simmer and cook, stirring, until the alcohol evaporates, about 2 minutes. Stir in the tomatoes and 1 cup water; bring to a simmer, then cover and set aside while you bread and brown the loaves.

Have ready the cracker crumbs in the pie plate. In another pie plate or similar dish, beat the remaining raw egg with a fork.

Unwrap the meat loaves. Place 1 loaf in the cracker crumbs and carefully turn to coat on all sides. Transfer to the beaten egg and turn to coat, then coat again with cracker crumbs, gently pressing to adhere. Return the breaded loaf to the plate.

Bread the second loaf in the same way.

Return the sauce, covered, to a simmer over low.

In a 12-inch skillet over medium-high, heat the ¼ cup oil until shimmering. Add the loaves and cook, carefully rotating them with a wide metal spatula about every minute, until golden brown all around, about 5 minutes total; reduce the heat as needed if the loaves are browning too quickly.

Using the spatula and tongs, transfer the loaves from the skillet to the Dutch oven, nestling them into the sauce and spooning some sauce over the top. Cover, bring to a simmer over medium-low and cook for 15 minutes.

Carefully turn the loaves in the sauce, re-cover and cook, stirring occasionally and reducing to low as the sauce thickens, until the center of each loaf reaches 160°F, another 10 to 15 minutes.

Remove the pot from the heat, uncover and let rest for about 10 minutes.

Transfer the loaves to a cutting board. Remove and discard the bay from the sauce. If the sauce is thin, bring to a simmer over medium and cook, stirring often, until slightly thickened, 2 to 4 minutes.

Taste and season with salt and pepper. Cut the loaves into ½-inch slices. Spoon some sauce onto a serving platter, place the slices on top and serve with the remaining sauce on the side.