Chef John's Monte Cristo Benedict

Step 1
Preheat oven to 375 degrees F (190 degrees C).

Step 2
Whisk 2 eggs, cream, white sugar, salt, 1 pinch cayenne pepper, cinnamon, and allspice together in a bowl until batter is thoroughly combined.

Step 3
Lay bread slices into batter, one at a time, and let bread absorb the mixture. Turn bread slices in batter until almost all batter has been absorbed, about 10 minutes.

Step 4
Heat a large skillet over medium heat, and melt butter in the hot skillet. Cook bread slices in the hot butter until browned, 2 to 3 minutes per side. Transfer French toast slices to a baking sheet.

Step 5
Lay ham slices into the hot skillet and cook until meat begins to brown, about 1 minute per side.

Step 6
To assemble, place a Cheddar cheese slice on a slice of French toast, top with 2 slices of ham, and lay a Havarti cheese slice over ham.

Step 7
Bake in the preheated oven until French toast pieces are no longer wet, the batter is set, and cheese has melted and begun to brown, about 20 minutes.

Step 8
Place sandwiches on serving plates and top each with 2 poached eggs. Season with kosher salt and a pinch of cayenne pepper.