How about a group of Finnish guys teaming with the Red Army Choir covering American songs.
Leningrad Cowboys
Sweet Home Alabama
https://youtu.be/M5GRpA5H3CI?si=Wf-BBApSxSdEyDVD
What ever songs they cover will be the best cover you will hear.
I saw that choir playing Toronto in the old stadium that was sorta like BMO Field but bigger. They were Soviets, and everyone even then knew that the Soviets had nothing to do with Russia.