Realistically? Treating visiting or studying the USA as visiting or studying in North Korea. Would you stand in Kim Jong square and protest their foreign policy? If you would I salute you. If something terrible happens, I will not blame you, the victim. But if you surprise pikachu at the results, you are a moron. Foreigners will end up making a choice -- study or protest -- but don't expect they'll be able to manage both.

The powers that be in the USA have signalled they won't tolerate foreigners protesting state department policy on their soil. This is obviously unconstitutional. But it won't be changed through lawfare.