Nursing School Question- Does the school matter?

I am in the process of completing pre-reqs for accelerated BSN programs. Due to wanting a MSN eventually, I want to go the BSN route, as opposed to the ADN route. I know in Chicago, some hospitals like Northwestern prefer RNs with BSNs to ADNs, but does where you get your BSN from really matter.

Based on my grades in undergrad and the grades in all of my pre-requistes for the various programs, I can probably get into to almost any nursing program, but I'd rather not come out of school with $60k in debt if where you went to school doesn't really matter.

I've considered Loyola University Chicago's program, Rush University's Direct-Entry MSN program, and John's Hopkins, all of which would cost me around $60k in tuition alone. Illinois State's program would only cost $25k. Would having a BSN from a presitgious school like John's Hopkins really make a difference getting a job at a reputable hospital like Northwestern, Children's Memorial or University of Chciago's hospitals vs a BSN from Illinois State? Illinois State has a 97% NCLEX pass-rate, so it seems like a decent school.

Any advice would be helpful.