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1
Heat 3 cups water with the vinegar in a large deep skillet over medium heat until simmering.
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2
Break each egg into a cup and then gently add to the water.
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3
Poach for 4 to 5 minutes, or until the yolk is almost set.
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4
Remove the eggs from the pan with a slotted spoon to drain the liquid and place on a plate.
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5
Season with salt and pepper.
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6
Heat the oil on a cast-iron griddle or pan until it begins to shimmer.
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7
Cook the ham until light golden brown, about 1 minute per side.
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8
Transfer to a plate lined with paper towels.
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9
Cook the tomatoes on the hot griddle until light golden brown and just warmed through, about 20 seconds per side.
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10
Split the biscuits horizontally.
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11
Place the bottoms on 4 large plates.
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12
Top each bottom with an egg.
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13
Drizzle with some of the hollandaise, top with ham, and sprinkle with parsley.
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14
Place the tomato halves and biscuit tops on the side.
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15
Stir together the paprika, New Mexico chile, chile de arbol, cayenne, garlic and onion powders, the thyme, and the oregano in a small bowl.
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16
Bring 1 inch of water to a simmer in a medium saucepan (or in the bottom of a double boiler).
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17
Whisk together the egg yolks and lemon juice in a medium nonreactive metal bowl and set over the simmering water.
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18
Whisk the yolks until pale yellow and fluffy, about 4 minutes.
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19
Slowly add the melted butter, a few tablespoons at a time, and whisk until thickened.
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20
Season the sauce with 2 teaspoons of the spice mixture, the salt, and the pepper.
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21
Serve warm.