Since when does government money ever come without strings attached? If you are saying that Washington asked Congress to hand out money to promote and support science and literature and education without dictating the terms under which the money could be spent, you are essentially saying it was Washington’s original intent to waste taxpayer money.
Also, both Washington and Madison called upon Congress to create a national university, not merely hand out money to existing schools within the states. Inherent in the creation of a national university is the setting of enrollment criteria, i.e., determining the curriculum of all of the schools whose students may wish to enroll in the national university. Even if Congress did not expressly make regulations for state and private schools, state and private schools would have to follow whatever lead Congress established by regulating the national university or else face the possibility that their own students could not enroll in the national university. This is precisely what happened with West Point. Students had to know certain academic things to enroll at West Point, so by regulating West Point Congress also regulated (what amounted to) K-12 education.
Based on your other posts, I thought you were smart enough to understand. I guess I was wrong.