What tax payer subsidies? Please explain because I am not aware of any.

If you are talking about the 501c3 status that some Universities have that has not reduced tuition costs for anybody in state or otherwise. Additionally the state contributes very little these days to a state university, case in point the UC system.

As far your link that only concerns Pell Grants. Pell Grants are only available to "people of need", most middle class families don't qualify and the average for award if you do is just $3800.