If you are ok with NorthEastern, you might consider applying to one of their Early Decision rounds (they have two). They accept almost 50% of those applicants. That said, ED and financial aid tend to not work together because you’re committing before you know if you can afford it. Maybe you can find some ED rounds that you could afford without Fin-aid. While being a girl will definitely help you with the CS part of things since schools often try to gender balance, CS is also EXTREMELY competitive. If you are a minority, that will help a lot, but if not, you’ll want to apply to twice as many schools as you might otherwise apply to.
Another option is to apply to schools for humanities and then add CS later. You will want to check for each school what the requirements are for transferring into CS. For some schools, it’s nearly impossible because you can’t get the required classes, for others, it’s simply high GPA.