WashU has an excellent engineering program with some real strengths in areas such as biomedical engineering. They are very well ranked, especially in the NRC rankings.
I don't know where you got the idea that Rutgers is in any way a safety school, it consistently ranks in the 30s for the Biomedical Engineering graduate program and it recently received it's 25th continuous year of NIH funding for training. I think you really need to reconsider your criteria, you are very light on research and otherwise look pretty typical, I would in no way look at Rutgers as a "safety".