Combine 1/4 cup olive oil, 1/4 cup lime juice, paprika, cumin, oregano, onion powder, garlic powder, and chili powder in a zip-top bag or shallow dish. Add chicken, coat well, and marinate in the fridge for at least 4 hours or overnight.
Heat a lightly oiled skillet or grill pan over medium-high. Remove chicken from marinade and cook 6–7 minutes per side, until the internal temperature reaches 165°F.
Rest chicken 5 minutes, then slice thin against the grain. Let it cool completely before portioning into containers.
Make dressing: blend Greek yogurt, jalapeño, 3 tbsp olive oil, 1/4 cup lime juice, cilantro, dill, and garlic until smooth. Season with salt and pepper. Divide into 4 small dressing containers.
Spin romaine very dry in a salad spinner, air-dry briefly, then chop and divide among 4 meal prep containers.
Layer corn and black beans over the lettuce, then add tomatoes and red onion. Add cotija or feta if using.
Add sliced chicken on top. Seal containers and refrigerate. Store dressing separately and prep avocado day-of or pack it with a squeeze of lime.