I believe to understand that, that was what Julio Iglesias did, after having somewhat of an argument withe the US IRS in the '90's. He was a Miami resident (really still is a fixture there), but moved his "official" or "legal" residence to Punta Cana or La Romana (Casa de Campo) for 3 years quite "aloud" and threrewith started quite a trend at both locations with US residing Latin artist. Since Iglesias was quite outspoken about the whole thing, he might have triggered quite some "business" for these locations (actually he went on to invest quite heavily in Punta Cana, and is, so I understand, one of the share holders of PUJ airport. While he has spread his "interests" around the world to place like Spain too.).
I have not followed up on any of them (since I have no interest in their person for that mater), so I would not know if they re-filed for homestead at their original locations in the US or moved their residency status to other tax-heaven locations.
Quite a number of US artists have made tax deals with other countries, like Switzerland at one or the other time... Tina Turner, Charles Bronson, David Bovie, Roger Moore etc... come to mind (the later 2 being Brits, I believe).
... J-D.