There are schools that provide a technical education within a liberal arts philosophy such as Lafayette College and Boston University or Notre Dame and University of California-Berkeley . Even in schools that have a technical reputation such as MIT and Carnegie-Mellon you will find opportunities to integrate the humanities. Whether a school is too big is a personal decision. While larger schools tend to use graduate assistants more frequently, smaller schools may not have a significant international population. Double majoring may not be necessary.
Many schools provide an opportunity to develop several interests into one major.
Using your interest in computers combined with business study in economics should strengthen your employability. Graduate school may also give an edge in a specialization that interests you at that time. My advice is explore. Find out all you can about your interests and see where the educational journey will take you. This is the essence of a liberal arts education.