I have one account in Mongolia but the bank I have used is no longer onboarding foreigners that are not residents. I lived there for a year so the process was simple. They did not have any problems changing to my new address when I left the country. For this reason, my account continues to be active and used with success. As far as I have read online, they still do not report yet. It is my understanding that bringing larger amounts can open more doors.
Additionally, a nice choice is Serbia, where there is access to quite a few larger European banks. In current︀ times, I think there has been a lot of Russian interest, which could put Serbia︁ on lists of jurisdictions to keep an eye on, scrutinize with AML more.