Place a rack in the center of the oven and another rack directly below it.
Place a rimmed baking sheet on each rack.
Once the pans are inside, heat oven to 350°F.
In a small bowl, add the mayonnaise and stir in hot sauce or mustard to taste; it should have a kick.
Spread mayonnaise mixture inside the rolls, coating both the top and bottom halves.
Layer rolls with turkey, ham, cheese, pepperoncini and pickle slices.
Using your hands, press the sandwiches down and make sure nothing slides out; If it does, poke it back in.
Use a brush to butter the top and bottom halves of the rolls.
Remove a hot baking sheet from the oven and place the sandwiches on top.
Layer the other hot baking sheet on top of the sandwiches.
Place a small pot cast-iron skillet, or other heavy heatproof item, on top of that second hot baking sheet to create a press.
Carefully return to oven and bake until sandwiches are warm, toasted and golden brown and the cheese is melted; 8 to 13 minutes.
Lift off the second pan to check on the sandwiches.
Cut sandwiches in half and serve immediately.