Is it worth taking a "gap" year to boost my chances at college?

OP, you should be looking at what the colleges say. The top schools want some rounding, the ability to recognize and pursue more than one unilateral thing. To even bring up the top schools, you should be doing this vetting. They want kids who get out of their comfort zones. Accomplishment in an interest area is good, but not a replacement when the schools want kids who can engage with peers, on campus, and in the community, in various ways.

You need to find where your stats actually place you and should be telling us the AP scores and SAT 2’s.

And I don’t see Hamilton has a business major. Lots of kids at various schools study econ instead. But I don;t see any mention of even some sort of certificate.