Sports recruiting and BS/MD programs

I am a junior in high school looking at options for soccer recruiting. I have played soccer for about 10 years, captain of my school's varsity team, and play club year-round. I believe I am good enough to be "softly recruited" for a mid-tier D3 soccer team. I am also super passionate about going into medicine, and I plan to apply for a bunch of BS/MD programs in the fall. My stats are pretty good (4.0 uw, 1470 PSAT) with a bunch of medically related activities. Since BS/MD programs are so competitive, I was wondering if it would help me at all in the BS/MD process to be recruited for soccer at one of the D3 schools (e.g. Case Western, RPI, URochester, Stevens, TCNJ). Do college coaches have any influence on the BS/MD process? Would I even be able to balance sports with being a pre-med, especially at a 7-year BS/MD program? Any input would be great, thanks!