Dissolve the yeast in warm water and let it sit for 5 minutes.
Add the evaporated milk, oil, sugar, egg, vanilla, baking powder, salt, and 2 cups flour.
Beat the dough in a stand mixer fitted with a paddle attachment until smooth.
Replace the paddle attachment with a dough hook. Add enough remaining flour to make a soft dough that is still a little sticky.
Place the dough in an oiled bowl, cover and refrigerate for at least two hours to overnight.
Punch down the dough and turn it out on a floured surface.
Roll out the dough into a 12x16 inch rectangle. Either cut the dough into two inch squares or us a Mickey Mouse cookie cutter to make Mickey shaped beignets.
Heat the oil in a large pan or deep fryer to 375 degrees.
Fry 2-3 beignets at a time until golden brown.
Line a cooling rack with paper towels. Place the fried Mickey Beignets on top of the paper towels for 1-2 Minutes.
Place some powdered sugar in a paper sack. Add one beignet at a time to the bag. Close the bag and shake until the beignet is covered with powdered sugar.
For best results, serve the Mickey Beignets warm.