Sadly, following legal advice, I have to exclude US citizens from the expedition.
This is due to the Guano Islands Act:
"Whenever any citizen of the United States discovers a deposit of guano on any island, rock, or key, not within the lawful jurisdiction of any other Government, and not occupied by the citizens of any other Government, and takes peaceable possession thereof, and occupies the same, such island, rock, or key may, at the discretion of the President, be considered as appertaining to the United States."
—first section of Guano Islands Act