Forgot to add that Chapman is also a likely reach, and, along with the other privates on your list, definitely WAY more expensive than the UC/CSU’s.
Your best bet, before you send in any application, is to sit down with your parents over the summer and really discuss price and location.
If they are adamant they don’t want you going out of state, why would you apply to NYU? If you got in and they still felt that way, how would you pay?
Please don’t assume they will just change their minds if you are accepted, that’s a total recipe for failure. Save yourself and your family the stress, and go into application season all on the same page about how far you can go and what they will pay.