In a medium bowl, combine the lukewarm water, sugar and yeast. Transfer to a warm dry place, and allow to sit for 10 minutes.
In a large mixing bowl, combine the eggs, salt and evaporated milk. Add the egg mixture to the yeast mixture, and stir to combine. Set aside.
Add 3 cups of bread flour to the yeast mixture. Stir to combine. Alternate adding portions of the shortening and the remaining 4 cups of bread flour, stirring to fully combine each portion.
Transfer the dough to a lightly floured work surface. Knead the dough until it is smooth.
Coat a large bowl with nonstick spray. Place the dough into the prepared bowl. Cover the dough with plastic wrap, and transfer to a warm place. Allow the dough to rise, at least 2 hours.
Preheat oil in a deep-fryer or deep skillet to 350 degrees F.
In a large, sealable plastic bag, add the confectioners sugar. Set aside.
Roll the dough to 1/4-inch thickness. Cut the dough into 1-inch squares.
Working in batches, fry the dough squares. Flip the dough repeatedly until both sides are golden. Transfer the fried beignets to a paper towel-lined plate to drain. Place the drained beignets into the bag containing the confectioners sugar. Seal and shake to coat evenly.
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