In a food processor or blender, process the corn, melted butter, egg and milk until pureed.
Add masa harina and sugar and pulse to combine (If you are not using a food processor, remove corn mixture from the blender to a large bowl and then add and combine the ingredients).
Let the mixture stand at room temperature for twenty minutes.
Add the cheese and incorporate them into the batter.
Set a large skillet or griddle over medium heat and add the butter and oil and heat till the foam subsides.
Drop heaping tablespoons of batter into the pan and cook for 3 to 4 minutes per side, flattening after each turn.
Serve immediately, with creme fraiche for dipping.