In a large bowl or zip-lock bag, combine buttermilk, hot sauce, garlic powder, onion powder, smoked paprika, salt, and cayenne. Pat chicken thighs dry, add to marinade, and refrigerate for at least 4 hours, preferably overnight.
In a shallow dish, whisk together flour, cornstarch, smoked paprika, garlic powder, onion powder, cayenne, black pepper, salt, and oregano until evenly combined.
In a small bowl, whisk together mayonnaise, sriracha, honey, and apple cider vinegar until smooth. Refrigerate until assembly.
Set up a wire rack over a baking sheet. Pour oil into a cast iron skillet or Dutch oven to a depth of 2-3 inches and heat to 350°F (175°C).
Remove one chicken thigh from marinade, letting excess drip off. Dredge in seasoned flour, pressing firmly. Dip back into marinade briefly, then dredge again in flour, pressing to create craggy bits. Place on rack.
Carefully lower 2 pieces of chicken into the hot oil. Fry for 6-8 minutes per side, until deep golden brown and internal temperature reaches 165°F (74°C). Transfer to wire rack to drain.
While chicken rests, toast brioche buns cut-side down in a dry skillet over medium heat for 1-2 minutes until golden.
Spread spicy mayo on both bun halves. Layer lettuce on the bottom bun, top with crispy chicken, add pickle slices, and cap with the top bun. Serve immediately.