I think the best fit would be an immigration lawyer? Those ppl are incredibly expensive (probably in the $1000s to begin with) and are country-specific, so mostly only ppl who have difficult cases do that…

Can try to search the subreddits r/iwantout and r/immigration first, they have lots of good resources and past posts. Also can try expat.com

Also don’t make my mistake… finding a job in a foreign country is incredibly hard, even with a doctorate. So it helps to cast a wide net and/or get a job offer first before making further plans