How much of a role do the certification bodies (the groups who decide who can grant a bachelor's degree) play the cost of college tuition? I'm a big fan of the

How much of a role do the certification bodies (the groups who decide who can grant a bachelor's degree) play the cost of college tuition? I'm a big fan of the classical quadrivium, trivium, and Great Books model of education; why couldn't one complete all of the studies at home, spend six to twelve months in an intensive course of examination and debate to validate the level of education (which could be done online) and receive a bachelor of arts in "the humanities" (or bachelor of letters or whatever one wants to call it)? I think we would have a much more powerful crop of critical and logical thinkers if education were handled thus.