Kick out panels would not be acceptable in a facility where the occupants are not familiar with the arrangement or lay out for means of escape. There are no recognised standards for kick out panels, and those that I have tested or have seen tested can pose problems for people who are slightly built, who are under five foot tall, who have mobility restrictions or limited arm movement/strength.
Equally, as these rooms are occupied by people who are not familiar with the premises, key operated locks and dome covered locks would not be acceptable either, unless a member of staff, who is familiar with the locks, is in the room with the players at all times. In my opinion, the most reliable method of securing such doors would be electrical locks which are linked into the FD&A system in accordance with BS 7273 : 4, complete with green break glass overrides.
If this is too expensive, then have ordinary escape door furniture installed which is 'sealed' in the locked position by paper tapes or the easy break security seals that are used on supermarket final exit doors. To ensure that players abide by the rules of the game, a charge could be levied if the seals are broken.