Let him in and completely ignore him. Turn the other press against him
They should just turn and walk out every time someone shouts a question without being called on
On another thread I said that if I was a reporter in the press corps, Acosta's ass would be grass, because his extended side shows waste time, and make it harder for me to ask a question. Somebody wrote back, and said the rest of the press corps hates him. My reply was, they might hate him, but they don't stop him from doing it over and over again. Even prison inmates will police their own kind. Reporters are too stupid, or afraid to do anything about it.
Put him in the back of the room, ignore him and have him removed if he causes any disruptions.