There is no way you can change your dependency status. Unless you can answer YES to one of the 13 dependency questions listed here:
http://www.fafsa.ed.gov/FOTWWebApp/fotw0910/WorksheetServlet?locale=en_US&wstype=WSDEP
This would be for the NEXT time you fill out the fafsa. (you can't change the answers for the fafsa you just did). Notice your dependency status (for the fafsa) has NO questions about who claims or doesn't claim you on their taxes. It has nothing to do with where you live. Has nothing to do with the fact that they will or will not be helping you pay for school.
Your EFC is not what you or your parents are expected to pay for school. It is just a code the school will use to determine what kinds and how much aid you will be offered and you are correct this Code is too high for you to get any type of free grants. But you WILL qualify for federal student Unsubsidized Stafford loan.
As a dependent freshman you can borrow up to 5,500 a year. Unfortunately, the government does not take into consideration that you want to attend an expensive out-of-state school costing 30K a year. They figure you can attend a perfectly good in-state school and have the 5,500 cover most or even ALL of your costs.
If you find a school that is under the 5,500 you will be fine. If you don't want to, your options for funding are very limited. Either find scholarships or convince your parents to take out a parent PLUS loan. They would start making montly payments on it immediatly and would have to take out a loan for you every year for you to afford this expensive out-of-state option. Out of state schooling is only a good idea for those who can afford it... but not wize for those who can not.
My advise to you is this...
Have an affordable (less than 5,500 a year if you have not saved any cash) "fall-back school" ready to go... just in case. Kids think that money is just going to start falling from the sky when they get accepted to these expensive schools. I hate to be the one to break it to you, but it doesn't happen.
Unless your Dad has 30,000 a year every year for the next 4 years, you will not ever graduate from this college. It pains me to see kids who somehow manage to scrape this money together to go ONE year and then end up having to come home because they didn't think ahead and realize they will be in college for FOUR years.
Now, about your Mom's illness, you COULD ask the schools financial aid office to consider the fact that your family has high medical bills because of her illness. You would need to turn in paperwork and documentation to this effect. Not often will it make a difference... (Not ONCE have I have ever seen someone suddenly qualify for grants when they did not before the petition, as a result of completing all this paperwork) but it couldn't hurt.
Just please, don't get your hopes up it will work.. because most of the time it doesn't.... (remember what I said about having a fall back school). If your mom has insurance and it is paying for most of her treatments, then this may not make a difference (the school will only take into account high PAID medical expenses that your family actually made) . it won't matter if they have outstanding bills (that aren't paid) or if someone else (like the insurance company) is paying.
And keep in mind that even if you did qualify for some sort of family income adjustment, it STILL isn't going to get you 30K a year. I repeat, it STILL isn't going to get you 30K a year. Becuase the max amount you can borrow as a dependent freshman is STILL 5,500 a year. Remember, what I said, money isn't going to fall from the sky...
I hope this helps. Email me if you have more questions!!!
Good LUCK