Most of the schools listed as reaches in the original post are reaches for virtually all applicants, even with respect to admission alone. Whether or not they also are big reaches w.r.t. cost depends on the OP’s financial circumstances (as well as the sticker prices). For some families, highly selective private schools like Stanford or the Ivies will be among their most affordable 4y college options.
http://talk.qa.collegeconfidential.com/college-search-selection/2092536-net-price-data-for-selective-private-colleges-p1.html
I recommend that the OP and parents run the online net price calculators on any schools that interest you, then discuss whether they are able and willing to cover the Expected Family Contributions.