Not sure if this can be incorported, but maybe (particularly with the site database going down ... sorry Fencer but it has happened) a fourth option could be implimented where a game can be abandoned with agreement of both parties. This would not be counted for games played or for BKR but would allow for a resolution of games such as Battleboats where positions are discovered only to be reset to an earlier position and there is no way for players to remember what they played (I find chess is a little easier to remember but have still made mistakes in this too).

For tournament games the game would be restarted.