Im not a law expert, the fine nuance is beyond me. Frankly im not sure what recourse you could take to tresspass an officer if other officers refuse to take your request. Let alone something you can do at the scene.
I am tempted to record a video and go to the police station and ask "If i give you an arbitrary list of names without any further details, would you be willing to official register a tresspass warning so they wont be allowed".
Then when i get them on recording saying yes (as this is fairly normal) id love to see them try to weasels out of it when they get a list of every person in their own precinct. Just the reaction alone would be priceless.