Preheat a griddle or a large nonstick skillet over medium heat. Spread the fig jam on four slices of bread. Top with the almonds, followed by 2 slices of bacon per sandwich, and a slice of each of the cheeses. Spread the butter on the outsides of the sandwiches, then sprinkle with salt.
Griddle the sandwiches on the first side, 5 minutes, then flip, cover with a heatproof metal bowl and cook until golden and the cheese is melted and warmed through, about 5 minutes more.