Brush corn with 1 tablespoon oil. Grill corn, covered, over medium heat until lightly browned and tender, 10-12 minutes, turning occasionally. Cool slightly. Cut corn from cobs; transfer to a large bowl.
On a lightly floured surface, roll or press dough into a 15x10-in. oval (about 1/4 in. thick); place on a greased sheet of foil. Brush top with 1 tablespoon oil.
Carefully invert crust onto grill rack, removing foil. Brush top with remaining 1 tablespoon oil. Grill, covered, over medium heat until golden brown, 2-3 minutes on each side. Remove from grill; cool slightly.
Add mayonnaise, 3 tablespoons cheese, 3 tablespoons cilantro, lime juice, chili powder and pepper to corn; stir to combine. Spread over warm crust. Sprinkle with remaining cheese and cilantro.