Drain and flake the cooked salmon into a large mixing bowl.
Add the panko, eggs, 1–2 tablespoons chopped chipotle in adobo, tamari (or soy), 1 teaspoon honey, garlic powder, chili powder, chopped cilantro and/or dill, and a pinch of kosher salt and black pepper to the salmon.
Mix gently until evenly combined, then form the mixture into 3 to 4 patties, compacting so they hold together.
Heat a large skillet over medium and add enough avocado or olive oil to coat the pan.
Fry the patties 3–5 minutes per side until golden and crispy and cooked through.
Place a Havarti slice on each patty during the last 1–2 minutes of cooking and cover or press lightly until the cheese melts.
While the patties cook, make the chipotle mayo by combining 1/2 cup mayonnaise, 1–2 tablespoons chopped chipotle in adobo, and 2 teaspoons honey in a small bowl; stir until smooth.
Toast the brioche buns, then spread chipotle mayo on the cut sides.
Assemble each burger with a cheesy salmon patty, shredded lettuce, sliced avocado, and extra chopped herbs if desired, then top with the bun and serve.