Roll it off site, with nothing but a 100 inch monitor, those roving cameras that find who is talking and auto adjust to them, and desks with individual mics.  Sarah / trump etc is on the big screen, and the reporters ask questions and the mics get shut off during the answer. If the reporters scream or talk over, it won't matter becuase sarah etc wont hear them. The only one that the reporter will be hurting is the rest of the news crew. They will quickly put the accoster in line because they will miss their story.