LE will never say they are looking for a body until they proof of death, pretty much. They will tell searchers to look out for clothing items, jeweltry, anything that looks out of place. But now that she seemed to have gone in his car, how on earth will they decide where to search? It seems so random. He could have deiven anywhere and never taken her to his apartment. Also he has had a full week to wash his clothes, etc.
Hoping he can maybe be tracked by his phone pngs that night. They did get a warrant for his phone. Maybe that will give them some areas to search.