Brush each of four slices of bread with 1 teaspoon of mustard and sprinkle with black pepper. Top with cheese slices, ham, peaches, and honey (optional). Cover with the remaining 4 slices of bread, lightly press down and brush with olive oil on top. Turn over and oil the bottom slice of bread.
Preheat the electric press grill. Place the prepared sandwiches on the grill, cover, and cook for 3-4 minutes, until the bread is golden brown.