If only Scotty can beam me up right this very moment to wherever I want to be I would ask him to take me to Timbuktu. The idea came to me after watching a cartoon/documentary (I know!) about the history of the place. A major commerce hub in the olden days, I know that the Timbuktu of today is a shadow of its former self. But it would be a refreshing change, and somewhere not a lot of people would go to (unless you're already in the Sahara desert).
In fact, that's me right there on the left next to a building made of mud.
You don't need an Amex, your imagination can take you anywhere. :D