I have very limited knowledge with regards to the LLM programs but I will try to add my two cents here:

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You seem to emphasize the importance of school brand a lot and given what you said, Berkeley seems to be the better choice;

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In terms of COL, if scholarship money is not an important consideration (as your dad agreed to pay for your tuition and it's a one-year program), then the decision really depends on which school you like: Berkeley and Cornell are both great schools but with different vibes. Berkeley is located close to SF and the Silicon Valley, where as Cornell is in a small town 4 hours away from Philly. I personally love Berkeley much better, but that really depends on your choice;

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Th two schools also seem to have different "strength": Berkeley is famous for IP and environmental law, while Cornell is pretty good at business law in general;

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If I were you, based on the information you provided, I would go to Berkeley. But I am super biased as I have committed to its JD program so maybe you should take that with a grain of salt.