You'd need to be more specific about your research interests. Are you focusing on the intersections of social media and health communication? I'd suggest you concisely and precisely state your research interests and propose a brief research plan in your statements. And make sure your CV is tailored your research interests to one or two particular professors that you'd like to work with. To be fair, good GRE or TOEFL scores would hardly make your application stand out. The most important components the admissions committee look at, however, are your previous research experience (Have you ever presented your papers at any of the major communication conferences or conventions, such as NCA, ICA?), publications (in Egnlish only. If you have any, do mention in your CV), letters of recommendation, SOP. In terms of the recommendation letters, unless your references have been working or worked in the U.S. for a long time, the LoRs do not carry that much weight.
So far as I know, Stanford actually has a preference for Asian students. However, most of the admitted ones got their Master's from a reputable US school or program already. That's probably one of the reasons that overseas applicants have slight chances of getting into Stanford. Keep in mind that there have been plenty of international applicants who graduated from a US college, which indeed makes your chances of being admitted in the low single digits. By the way, I really don't think health communication is Stanford's strength. You may want to use NCA's doctoral guide to find your programs of interest https://www.natcom.org/nca-doctoral-program-guide/university?field_docprog_state_value=All&field_docprog_research_specs_target_id=37&title= .