Universities heavy on research funding have a revenue source and working population base probably equal or greater than the undergrad population, and are much less likely to fold. Undergraduate education and its revenues are in comparison (to use a term from a favorite professor) a pimple on the ass of graduate and professional research funds for those institutions.
Any colleges/universities that are heavily dependent on undergrads and the tuition they pay (at full unsubsidized rack rate, having little to no science research revenue) are the ones most at risk. I.e. the Sarah Lawrences of this world.