These places already exist outside of the US, and that type of repeated stunts from Duke, Brown, Reeds, etc, is probably a boon to them. I believe the current climate is a deterrent for foreign students, who in the US are caught between anti-immigrant sentiments on the right, and reactionary identity politics on the left (such as African and Indian students being called race traitors at Reeds). International students represent a significant source of income in higher ed and their enrollment has nose-dived in the US in the last few years. If this continues this will benefit non-US international universities who will manage to attract that population, not just in terms of revenue but also in standing.

So my guess is the places you describe already exist and they're about to be better known within a few years as trust in US universities erodes.