Do more BSN applications increase my likelihood of a scholarship?

[jentl2002]

I have two preferred BSN programs (accelerated) that I am working on applying to for 2023 admission. I recognize schools will sometimes provide scholarships or grants and believe I am a possible candidate (have a masters degree in a related field, board of a nonprofit, experience in a hospital, commitment to help the underserved, etc). 

I'm in the Philadelphia area which happens to have a high number of relevant programs. Even though I have in mind my two top programs, would it be worth my time to apply to more programs with the chance that I would receive a great financial package at another school?