Agree with Brown...3.75 is fine and better than a lot of people https://www.aamc.org/download/270906...ridall0911.pdf
The acceptance rate over the last 3 years for students with a GPA between 3.6-3.79 (presumably where you'll end up) who had an MCAT >27 was 67.8%.
The #1 thing you have to do, and in my opinion this task will be made more difficult by being at a Top 20 UG, is to make sure you apply BROADLY. A poor application strategy where you fail to include a mix of schools from all perceived tiers could be a recipe for disaster. Anecdotally, it seems that peer pressure at top undergrads prevents students from following through on an appropriate set of applications, and then you end up hearing on CC or SDN about the student with great grades, great MCAT and great pedigree who failed to make it into med school and how unfair it is that some poorer applicant "took" their spot. So just be sure to apply to a mix of public and private schools, all schools in your home state and some out of state places that regardless of in-state preference still take a fair number of OOS students.