At this stage, and in the interests of acceleratng a conclusion, if I was BA I would pull the pin from the proverbial grenade and toss it into the BASSA/AMICUS/Unite meeting later today by taking the current offer off the table (on the legitimate grounds of BASSA/AMICUS's failure to recommend) and then watching the ensuing bickering, in-fighting and panic with mild amusement.
Now this would be most interesting to watch. Great idea!