Free market brings prices down and quality up. The government tried to ‘help’ 50 years ago and now the prices have become so distorted that without government help you would need to be rich to go to school.
People like you think the government should solve a problem that they themselves created.
In theory, but in practice there are many markets where that simply doesn't work, mostly due to natural monopolies, such as any type of infrastructure, healthcare or education, where competition is impractical or impossible, equal access for everyone is extremely important, and costs are high.
I think free market could work with education. It is really a question how to verify the results. That is how should degrees be granted. Which is rather complicated issue as there is way too many ways to cheat.
Still, nothing really stops competing methods and prices for teaching to competing levels.