I'm doing social anthropology at LSE. My advice isn't great since it's been years since I wrote my PS and I'm really unfamiliar with what law programs look for, but there are definitely anthropological ways of talking about the law that don't make you say the word "anthropology." Noting interest in the way that law is actually understood and practised by the people under it, interest in different judicial systems (informal or unofficial or inquisitorial vs adversarial), impacts of international law, interest in how law unintentionally (or intentionally!) impacts different groups differently, e.g. along lines of gender or ethnicity or class. Just quite a large awareness of not only how to practice law but how law is shaped and enforced and what law could be. If you happen to know you're interested in human rights or a particular area where anthro might be very useful, you can insert quite a lot of anthropological points or insights that won't turn off other schools, I imagine.
But this is from the perspective of someone who's never had any interest in pursuing law. I do think they'll be pretty sympathetic to the fact that it's hard to balance these things to appeal to such a rare program.