No, I'm not crazy - this really works:

Start heating steam iron to maximum heat, with steam turned Off.

In the meantime, put cheese between bread slices and top with aluminum foil.

When the iron is quite hot, put it on the foil, and leave for about 1 min (more or less, depending how brown you like your toasted sandwich). In the meantime you can prepare a second "load".

Turn over sandwich, place foil on top and iron other side for another minute.

Don't tell your guests how you did it, they'll think you're certifiable!