Ajoy. I have a few thoughts for you. Ive attended a very prestigious liberal arts university and also a few other colleges. I think that your problem is that you are being forced to choose between two bad options. Paying a huge amount for your college degree is not necessary and you could probably get much more value for your money at another institution. Also, attending a university just to go to college and not even study what you are interested in is also pretty pointless.
Why not consider a third option? If getting out of town is your goal, why not attend a community college somewhere? This will let you begin your path towards the major you want and will save you a TON of money. To my shock, I found out that the classes at my local community college were better than the aforementioned liberal arts college. It is also easier to get accepted as a transfer from a community college than straight out of high school.