How to Make It
In a saucepan, cover the eggs with water and bring to a boil. Simmer over moderately high heat for 8 minutes. Drain and cool the eggs slightly under cold running water. Peel the eggs and coarsely chop.
In a large bowl, whisk the mayonnaise with the mustard, hot sauce, paprika and 1 tablespoon of the pickle brine. Fold in the chopped eggs, pickles and scallion and season with salt and pepper.
In a medium bowl, toss the frisée with the olive oil and the remaining 1/2 tablespoon of pickle brine. Season the frisée with salt and pepper.
Preheat a large cast-iron skillet. Fry the ham slices, turning once, until lightly browned, about 2 minutes. Lay the ham slices on the muffin bottoms and top with the egg salad and frisée. Close the sandwiches and serve.