I don't imagine this being that large of problem this is with majors like computer science. By going to a public school and interning during the summer (maybe even part time during the year), you can easily come out debt free (if not positive).
At my alma matter (Berkeley), I imagine it was quite high. Not so much due to the high paying internships (which do help limit the burden), but because CS students on average tended to come from quite affluent households.