Do i have a shot at good biomedical programs?

<p>i know that biomed programs are really competitive at most schools, and i was wondering if i have a shot at those programs at places like georgia institute of technology, case western university, etc.
statistics:</p>

<p>UW GPA: 3.5
Weighted: 3.8
SAT Composite: 1940
Took all AP & Honors classes offered at my school and i even took one class for college credit at a local university. </p>

<p>EC's/awards:
Played JV tennis for 2 years, varsity tennis my senior year
Academic Spell Bowl team -- state finalists all 4 years, regional champions 3 years
Math team
National Finalist for 2 years in a row in a neuroscience competition
National Finalist for 2 years in a row in a public speaking competition
National Finalist for 2 years in a row in a essay writing competition
Marching Band State Runner up -- freshman year
Speech team for 2 years
National Society of High School Scholars
National Honors Society
FIRST Robotics team for 3 years -- won a regional championship in 2009 (had leadership position)
VEX Robotics team for 2 years -- won a regional championship in 2009
Rocket Club
Vice President of Chess Club
Played violin for 6 years, performed at various concerts</p>

<p>Volunteer Activities: (total = slightly over 100 hrs)
Assisted my tennis coach in coaching small children
Assisted my tennis coach in his adult tennis classes
Volunteered at a local hospital
Assisted the Salvation Army</p>

<p>can anyone suggest some good target/safety schools for me with a good biomed program? money’s not an issue & any college suggestions are welcome.</p>