I'm not sure being a transfer student puts you in a different "need" category. Every school I applied to met need as I expected and I read CC during the process and most that commented shared the same sentiment. Schools have an idea of how many transfers will come and what the expected financial budget they will need.
That being said, what is important in the financial aid scale, is if you have the grades and high need, top schools, even with being far more expensive, give the best aid by a long shot. My state school gave tiny scholarships, and LOTS of loans. Meanwhile the higher caliber private schools offered full scholarships. If it isn't full of course this has to be balanced with the expense.