This is not a hard problem and it's vastly different than central planning with respect to prices of toilet paper or other stuff that shouldn't be centrally planned. Don't conflate these contexts and assume that they're all the same with respect to price regulations, because they're not. It's either lazy or intentionally disingenuous on your part to do so.
Fostering competition while ensuring that students are not taken advantage of is equally as complex if not more so than centralized cost regulation in the form of restrictions for institutions that accept federal loan monies. That's something I often see unaddressed with comments like yours. Unregulated competition is not a magic wand that solves all problems. Treating it as such is ignorant.