So don't discount stats coming out of Iceland on that account. I don't vouch for these numbers but don't see anything wrong with them either.
random testing is a good idea -- it is just hard to organize and justify in the midst of a rush of real cases.
The per capita is only higher because we have tested very few people. The whole point of this story is that far more people are infected in the USA than what official figures show. And also that the mortality and hospitalization rates are far lower...