01 - Place eggs in a saucepan and cover with cold water. Bring to a rolling boil over medium-high heat, then reduce the heat to low, cover, and simmer for 10 minutes. Transfer eggs to an ice bath to cool completely before peeling. Halve each egg lengthwise.
02 - Gently scoop out the cooked yolks and transfer them to a mixing bowl. Set the egg white halves on a serving platter.
03 - Heat olive oil in a small skillet over high heat. Add the corn kernels and sauté undisturbed for 1 to 2 minutes, then stir occasionally until lightly charred, about 3 to 4 minutes total. Remove from heat and let cool to room temperature.
04 - Add mayonnaise, sour cream, lime juice, smoked paprika, chili powder, garlic powder, and salt to the yolks. Mash with a fork and stir until the mixture is completely smooth and creamy.
05 - Gently fold the charred corn, crumbled cotija cheese, and chopped cilantro into the yolk mixture until evenly distributed.
06 - Pipe or spoon the filling generously back into each egg white half, mounding slightly above the rim.
07 - Finish with an extra sprinkle of crumbled cotija, a dusting of chili powder, and chopped cilantro. Serve alongside fresh lime wedges.