General business is one path that can work for you. The advantage I see here is in learning the basic business skills that will better prepare you to interact with the business, namely finance and economics fundamentals. I am also a proponent of Social Science programs These can range from more targeted Industrial Phycology programs to Psychology, Sociology and Political Science. What these programs provide is in developing your understanding of why people behave the way we do which is a fundamental skill of any HR professional.
I have seen strong HR leaders come from a variety of educational backgrounds. The goal is to develop a solid foundation of core skills that hit on both the interpersonal interactions and the analytical. College is a great place to build this foundation between what you learn in the classroom and in your own development and life experiences.