Shuck the corn, removing the husks (or leaving them on if desired). Grill over high to medium-high, flipping as needed, until tender and charred, about 8-10 minutes.
Mix the mayo and crema together with the lime juice and zest.
Remove the charred, cooked corn from the grill. Brush or generously spoon on the sauce then top with cotija, cilantro, and chile powder to taste.