HELPP!!!

<p>I'm a junior at a public high school in TN.
I have pretty good ECs and grades. Top 5% in my class.
I will be working on raising my ACT to a 34 this summer.
I really don't want to stay in state....
I have been thinking about Emory, but it doesn't have a great financial aid package.
Harvard is my dream.school.
But realistically, I would like to go to a top 30 school, that meets full-demonstrated need:
(Boston College, Brown, Columbia, Cornell, Dartmouth, Duke, Georgetown, Harvard, Northwestern, Princeton, Rice, Stanford, Tufts, UChicago, UNC-Chapel Hill, University of Notre Dame, UPenn, University of Richmond, USC, Vanderbilt, Washington and Lee University, WashU, Yale)
I prefer a research college over liberal arts.
Are there any colleges from the list that I may have a decent chance of getting in?</p>