Just to put this in the plainest possible terms:
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Apply to a selection of affordable “arts and sciences” schools that you can see yourself enjoying. Such a school will have both Economics and also Biology and other science majors, and it will be where the pre-med kids are located too. This could be the whole college, or a subdivision of a college, but just make sure that the Arts & Sciences unit has general admissions (meaning it doesn’t admit by major and you actually declare later);
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Although I am a parent myself so this is sort of violating the code–tell your parents the closest thing to the truth that will allow this to happen;
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Once you are there, explore your interests and career options, and then declare whatever major you like.
The bottom line is this is your life, and your parents should not be trying to micromanage it.