For the sandwich rolls: On each piece of flatbread, lay 2 slices of American cheese, a layer of shaved turkey, a layer of lettuce and finally a layer of shaved ham. Roll each flatbread into a large roll and wrap in plastic wrap. Refrigerate for several hours.
For the chipotle mayonnaise: In a medium bowl, mix together the mayonnaise, diced chipotle and salt and pepper to taste.
When ready to serve, remove the flatbreads from the fridge and slice each into 4 or 5 thick rounds. Serve with the chipotle mayonnaise, regular mayonnaise and Dijon mustard.