Did they go to white schools, black schools, or neither? Or was it dealt with on a case-by-case basis?
I'd also be interested in hearing answers about Latin Americans, but particularly interested in Asian Americans. Also, was treatment different based on where in Asia they were from (Indians vs. East Asians, for example)?
If it helps, I found these links for related questions that we asked our esteemed historians:
What was Jim Crow/segregation era America like for non-black minorities?
How were Asian Americans, Latinos, and other people of color treated during Jim Crow?
What was life like for Asians in America before and after the civil rights movement?
How were other minorities treated during America's period of racial segregation?
Too many credits to adequately share, but among the contributors in these posts are u/SheldonNovick, u/pronhaul2012, u/elcapitansmirk, u/fufie, u/MrDowntown, u/flynavy88, u/slimshady2002 & u/Tynictansol.
The last writer I especially like for his inspiration and lessons to us all:
I'd argue it's also noteworthy that for going back a long ways those groups constituting 'white' or 'caucasian' can't always get along. Russian and Irish and Italian and German and others had quasi-ethnic nationalistic hostilities they either carried over from the 'old world' or picked up in a big city here in the 'states. I imagine that while not as destructive or abhorrent as the actions and policies toward 'nonwhite' races, the existence of these tensions lay out that we, as a country and as a species, like to try to find differences to point out among one another and that once those things are pointed out, there is no shortage of wormtongues out there waiting to turn us against one another.
In Seattle, Asian Americans were segregated through red lining just like black Americans, so they were victims of the same de-facto segregation. There is a great website that discusses this from University of Washington that has a huge database of primary sources on segregation in Seattle. While this isn't in the "Jim Crow" region of De Jure segregation, northern states were (and still are) very segregated through other means. You are likely to find specific discrimination against Asian Americans pretty anywhere on the West Coast.
Today this segregation is still reflected in our schools as Asian Americans from poorer immigrant backgrounds from countries like Cambodia, Vietnam or the Philippines attend schools that have a high percentage of people of color (these schools are very diverse other than there are no white people, high immigrant populations from all over the globe no one race), and students from wealthier Asian backgrounds, typically Chinese, Korean or Japanese attend schools that are primarily white and upper middle class/upper class Asian.