If needed, pound the chicken breasts to even thickness using a meat mallet so they cook uniformly.
In a small bowl, combine smoked paprika, dried oregano, garlic powder, onion powder, crushed red pepper and a generous pinch of kosher salt and black pepper; mix well.
Season both sides of each chicken breast evenly with the spice mixture.
Heat 1 tablespoon olive oil in a nonstick skillet over medium heat until shimmering.
Add the chicken and cook until darkly browned and cooked through, about 3–5 minutes per side for thin-sliced breasts, until an instant-read thermometer registers 165°F (74°C).
Transfer the chicken to a cutting board and let rest for 10 minutes, then cut into bite-sized chunks.
For the vinaigrette: in a bowl whisk together lime juice, raspberry jam, minced garlic, 1/4 teaspoon chipotle chili powder and a pinch of salt and pepper.
Whisk continuously while slowly streaming in 1/3 cup extra virgin olive oil until the dressing is emulsified and smooth; taste and adjust seasoning.
In a large bowl, toss chopped iceberg lettuce with a pinch of salt and pepper, then add halved cherry tomatoes, chopped cucumbers, chopped avocado, diced red onion and crumbled feta.
Add the chopped blackened chicken to the salad, drizzle with the raspberry chipotle vinaigrette, toss gently, and serve.