The doctors who I know have said that the other doctors in their MD program came from “all over the place” (this is an exact quote from one of them). My daughter who is in the forth year of a (highly ranked) DVM program has said essentially the same thing. The various other students in her program got their bachelor’s degrees at a very, very wide range of universities. Roughly three years ago I listened in to the welcome reception for her program and noticed the same thing – it was relatively rare to notice two students who had gotten their bachelor’s degrees at the same university.
There are hundreds of colleges and universities in the US that can prepare a student very well to apply to MD programs. You definitely do not need to attend an Ivy League university to get accepted to a very good medical school. You do however need to do very well in tough classes, and have very good related experience, and have very good references.
Also, premed classes will be very demanding at any of a very wide range of universities. You might be surprised at how tough the classes will be and how strong the premed students will be for example at a university that is ranked somewhere around about 100 in the US.
A college or university with an acceptance rate less than 30% is a very good and highly selective school. You can attend a university with a 60% acceptance rate and find premed classes that are very tough and that are full of very strong students, and be very well prepared for MD programs.
I think that you should be looking for a school that is a good fit for you.
And medical school admissions will be based on what you have accomplished, not on where you did it.
Finally, whether or not you continue your sport through college is up to you. You might want to think about whether you want to do this, with the understanding that medical shadowing, plus tough premed classes, plus playing a sport, adds up to a very major commitment of time and effort. If you do not continue your sport, then I am assuming that athletic scholarships go away. This plus the cost of university plus the cost of medical school is also something to think about.