A much better solution is to revoke the ability of students at specific schools/programs to qualify for federal student loans if the outcomes of the program are poor. Turn off the spigot of money, and they will cleanup their act really quickly.
The Department of Education should have a vested interest specifically in the way that you mention, and they did set up a site that communicates historical outcomes of majors at a per school level at https://collegescorecard.ed.gov/, but it gets little visibility in the college marketing funnel that is filled with for profit enterprises like US News and Niche-- plus the marketing (admissions and/or athletics) departments of colleges themselves.
Perhaps we shouldn't seize the assets of random voters who enacted these programs
It might still be favorable for the US Tax Payer even if these loans end up un-paid.