These are all peer institutions – albeit a mix of public and private – so prestige should not be a factor at all. (a relief, since it never really should be.)
Because they are peer institutions, I think you shouldn’t have to worry about program quality if you were to change your mind: all four will have plenty of quality majors and classes from which to choose. Rice’s English and other humanities departments will be fine. They might not rank as highly as Berkeley’s, but the classes at Rice will be (mostly) smaller than those at Cal, so there will be plenty of individual attention.
If I were you, I’d give big immediate edges to Rice and Emory because you and your family will save loads of money if you choose from between that pair. Even if your parents are willing to pay for everything, we’re talking in the neighborhood of $200,000 – enough to do a lot of good in your pockets or your parents’. (and if it’s in their pockets now, eventually at least some of it will likely find its way to you)
Fit is still very important – look at each school thoroughly, visit if you can, and then rank the schools from 1-4.
In my opinion, if you like Emory or Rice particularly, that school should be your choice or at least be given serious consideration. They are quite similar in quality and rep.