I'll second VCU as a good choice. We have a great BME program, and our current president and administration is really growing the Life Science program with lots of genomics and BioInfomatics classes.
VCU also has a large med school at a large city hospital. Great place to learn to be a doctor, or nurse as I plan to. VCU has program to guarantee admission to med school for high school applicants. You apply, and if they accept you, you are guaranteed admission to VCU School of Medicine upon completion of your undergrad degree.
Also at VCU is ENGR 492, Mentoring a FIRST team and a large regional.
Where ever you go, good luck.
Wetzel