http://www.watsonfellowship.org offers up to 50 fellowships annually:
The mission of the Thomas J. Watson [Senior] Fellowship Program is to offer college graduates of unusual promise a year of independent, purposeful exploration and travel outside of the United States in order to enhance their capacity for resourcefulness, imagination, openness, and leadership and to foster their humane and effective participation in the world community.
The stipend for the fellowship year is $28,000 ($38,000 for fellows accompanied by a spouse or dependent child).