01 - Place eggs in a saucepan and cover with cold water by 1 inch. Bring to a rolling boil over medium-high heat, then reduce to low, cover, and simmer for 10 minutes. Transfer immediately to an ice bath for 5 minutes. Peel and halve each egg lengthwise.
02 - Gently remove the cooked yolks from each egg white half 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 without stirring for 1 minute intervals, tossing occasionally, until lightly charred and caramelized, 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 thoroughly with a fork and stir until the mixture is completely smooth and creamy.
05 - Gently fold the charred corn kernels, crumbled cotija cheese, and chopped cilantro into the yolk mixture until evenly distributed.
06 - Transfer the filling to a piping bag or use a small spoon. Pipe or mound the filling generously back into each egg white half.
07 - Top each filled egg with an extra sprinkle of crumbled cotija cheese, a dusting of chili powder, and chopped cilantro. Serve immediately with lime wedges alongside.