Heat oven to 450ºF (232ºC) with rack set in lowest position. Combine 2 diced tomatoes, 1 chopped onion, 1 minced jalapeño, 2 tablespoons tomato paste, 2 tablespoons lime juice, 1 tablespoon honey, 2 minced cloves garlic, 1 teaspoon salt, and ¼ teaspoon pepper in a large bowl.
Heat 1 tablespoon olive oil in a large skillet over medium-high until shimmering. Add tomato mixture and cook until liquid has thickened and mostly evaporated, and tomatoes begin to break down, about 5 minutes.
Meanwhile, cut 1 pound shrimp into ½-inch pieces. Remove skillet from heat and stir in shrimp; set aside.
Brush 2 rimmed baking sheets with 2 tablespoons neutral oil (1 tablespoon per sheet). Arrange 6 corn tortillas in a single layer on each prepared sheet. Brush remaining 2 tablespoons neutral oil over tortillas.
Divide 8 ounces shredded cheese evenly among tortillas, then top with shrimp mixture. Bake, 1 sheet at a time, until bottoms and edges of tortillas are golden brown and crisp and cheese is melted, 9–14 minutes.
Top tacos with shredded lettuce, diced avocado, cilantro, and hot sauce. Quickly fold tacos in half and arrange, standing up, in a rimmed platter or dish.
Repeat cooking, topping and folding with remaining 6 tortillas and filling. Serve with lime wedges and additional hot sauce.