McAfee, who is wanted in connection with the killing of an American expat on the island, claimed in a blog posting that he had evaded authorities by staging an elaborate distraction.
He claimed a double who was carrying a North Korean passport in his name was detained in Mexico.
It was a turn typical of the bizarre saga of the eccentric anti-virus firm founder wanted for questioning over the fatal shooting of Gregory Viant Faull on the Belize island where they both had homes, in early November.
A representative of the Faull family said the the murder of the American was becoming lost.
"The real issues are that a human life was violently taken, authorities lack all the information... we're beyond the danger of them being lost. This is tragic to the family," said Texas-based Dan Keeney.
Police in Belize have called McAfee a "person of interest" in the killing of Mr Faull and asked him to turn himself in.
Mr Faull was shot dead in his home, a couple of houses from the compound where McAfee kept noisy dogs, armed guards and entertained a steady stream of young women from the mainland.
Prime minister of Belize, Dean Barrow, expressed doubts about his mental state. "I don't want to be unkind to the gentleman, but I believe he is extremely paranoid, even bonkers," he said.