Preheat a grill to medium-high. Adjust the grilling rack so that it sits about 4-inches away from the fire.
Drain the corn but do not remove the husks. Lay the corn on the grill and cook, turning it frequently, until it is crisp-tender, about 15 to 20 minutes. Remove the corn from the grill and allow it to cool slightly. Then pull the husks back to form a handle, and brush the ears evenly with the sour cream mixture. Divide the cheese evenly among the ears of corn, coating them on all sides. Serve immediately.