As the title says, what are the best schools for an LLM in Media Law in the US? I'd be specially interested in options on the east coast, but I'm not ruling out the west coast at all.

Columbia, NYU, Harvard are the best options for you on the east coast. I'd look into the specifics of each program and see which fits your goals best.

You can also have a look at https://llm-guide.com/lists/top-llm-programs-for-media-law-entertainment-law