Maybe some records from Caesarea Maritima, built by Emperor Hadrian to impress Rome, will show something. This was the biggest baddest harbor on the coast, probably second only to Rome in the Med. at the time of Jesus. Joseph of Arimethia had to have a big presence here if he was as big a shipowner and carrier for the Roman Empire as believed.
As a member of the Sanhedrin he was probably President of the local Rotary Club, which would mean he knew everyone who was anyone. That may be how he had the clout to take possession of Jesus body and give him his private tomb.