I didn't think that coils have a polarity, they magnetise and the effected plunger moves. Also, if it had polarity, this wouldn't cook the fuse very quickly.
It sounds like you know what you are doing as you stated board repair, but have you first off pulled the play field connector for this coil, then run a coil test and seen if the fuse pops? This will indicate if the issue is on board or on play field.