The reality TV star and her companion, Howard K. Stern, are considering homes on various islands in the archipelago, Smith's attorney, Wayne Munroe, said Monday.
Smith, who gave birth to a daughter in the Bahamas, used the house in Nassau as the basis for her application for permanent residency. The home has been the subject of an ownership dispute between her and a South Carolina businessman.
If a court rules against her in the dispute, Munroe said Smith wants to make sure she can meet the condition of owning a home worth at least $500,000 needed to maintain permanent residency in the Bahamas.
"What is involved now is a leisurely look at other houses," Munroe said.
Smith's former boyfriend G. Ben Thompson, a South Carolina businessman who claims Smith has not honored an agreement to pay the mortgage on the Nassau house, escalated their feud Friday by having the power cut off at the home. The electric utility restored power within hours and is reviewing Thompson's request, Munroe said.
Thompson's Bahamian attorney, Emerick Knowles, said the tactic was warranted because Smith has refused multiple requests to vacate the property.
"Mr. Thompson is the owner of the property and it is being unlawfully occupied by Ms. Anna Nicole Smith," Knowles said.
Munroe criticized the measure as mean-spirited.
"They're trying shenanigans that are totally inappropriate with a woman at home with a newborn child," he said. "Nobody seems to have any regard for this child."