|your thin clients would need to have enough room on flash to hold the limit logon client software. Same way you do to add print drivers.|
I have never worked with 2x so I can't answer that. Though I doubt it. Again you are at the machine level and there is no GPO or active directory influence.
I would suggest given the scenerio you would be ahead of the game to get a DVR and a couple of cameras and monitor/record activity in the room. Not an unusual practice when you allow the public to use expensive equipment. You are looking at about $600 for a total setup which is way cheaper than the path you are on now. It would give you better evidence to present to parents and administration.