Wow, tricky one this as it involves what many guys, no matter what their training, would find difficult- force against a woman.
Everyone will have a different mental image of the scenario, so interpretations will vary, and the bearhug offers a couple of variables, namely, did it clamp down the arms, or were they free due to dealing with the woman?
Arms free: Use them as a fence for distancing the woman, as the opertunity arose, using back elbows, groin grab and digit manipulation to break the mans hold on me.
Legs are pushing off walls/solid objects to off-balance the man, raking shins, stomping feet and again kicked in the air to distance female.
I would attempt to use the back of my head to butt the guy, though this would probably be expected and avoided.
All the time using my voice to snap my colleague out of her panick, to assist with the female as priority one, then if/when successfull, and if necessary, assist with man (also to hit the panick button for more manpower).
Arms inside the bearhug: I would find this easier to be honest. I am quite wide so the addition of the arms will make a 'lock' on the hug more difficult for most people (my old instructor used to have great difficulty performing ogoshi throws on me- just couldnt get his arm round me
legs I am using more as a fence than a weapon now, and using the power in my upper body to dislodge the man, from here i may still get in a position for groin strike/grab, and am also looking for the headbutt.
Voice as above.
Reasoning for assistant focusing on woman.
1. I know what the guy is capable of from a bearhug- not a lot. He is commited to it and can cause no further trouble outside this action.The damage to me is limited by this action.The woman on the other hand is free to do all sorts of nasty things.
2. In subduing the woman, his reaction may well be to release his grip and go to her assistance, if so I am free and its miller time
3. Quite often in mixed sex confrontations like this, it is the female that 'eggs on' the man, who fights harder out of a sense of bravado. Quell the motivation for the attack, weaken the resolve of the attack.
Well thats it. How did I do Coach? Can I start on Saturday