Here's a link to the "bottom line cost by family income" for schools that have made no/low loan pledges:
Project on Student Debt: What's the Bottom Line?
Please, please make sure you apply to at least one SUNY - Geneseo is the first that comes to mind for you. I'm 99% sure they will meet your full need. Buffao might be another good choice - they are very generous with low EFC kids and have alot of perks and choices for bright kids like you.
If, for some reason, you decide to stay in Syracuse, LeMoyne has offerred great merit and need based aid.