01 - Place eggs in a saucepan and cover with cold water. Bring to a boil over high heat, then reduce heat to low, cover, and simmer for 10 minutes. Transfer eggs to an ice bath to cool completely. Peel the eggs and halve each lengthwise.
02 - Gently remove the cooked yolks from each egg white half and place them into a mixing bowl. Set the egg white halves aside on a serving platter.
03 - Heat olive oil in a small skillet over high heat. Add the corn kernels and sauté, stirring occasionally, until lightly charred and golden, about 3 to 4 minutes. 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 bowl with the egg yolks. Mash and stir until the mixture is completely smooth and well combined.
05 - Fold the charred corn kernels, crumbled cotija cheese, and chopped cilantro into the yolk mixture until evenly distributed.
06 - Using a piping bag or a spoon, fill each egg white half generously with the corn and yolk mixture, mounding the filling slightly on top.
07 - Sprinkle the filled eggs with additional crumbled cotija cheese, a dusting of chili powder, and freshly chopped cilantro. Arrange lime wedges alongside for squeezing and serve immediately.