While Syracuse does not guarantee to meet the full need of every admitted student, they are rated fairly well for Financial Aid.
Here is a list of Special Aid Programs offered by Syracuse. For instance, the On Point For College program says: “Syracuse University provides a financial aid package that meets full need to admitted, active On Point for College Students with a minimum of full tuition being covered by a combination of Federal Pell Grant, NYS Tuition Assistance Program grant, and Syracuse University scholarship and grants. The scholarship is renewable for four years.”
If you choose to apply, do so knowing there is a relative small chance at receiving enough aid that you might consider it “near full ride”, but that the possibility is there. In other words, apply to SU if it is one of your favorites, but definitely apply to other schools that are financially affordable. Other SU special FinAid programs and descriptions are available at the link.
Good luck.