If you're ever in my lovely state of Virginia, near the town of New Market, I recommend a stop in the well-preserved, mid-century Southern Kitchen.
You've got your deer heads on the walls, individual booth juke-boxes, boomerang formica...
and, a Swiss Cheese sandwich on the menu! Must have been common in Jack's day but I can't say that I've ever seen that anywhere as a specific "menu item". I almost ordered the chiss sweeze but it was breakfast time.