Hmmm… what could possibly go wrong…? Seriously though, there is only one outcome that would seem desirable, and achieving it will take some skill/ luck no matter what gear you have and the number of “proper blokes” you involve. Dealing with hanging trees is not much fun at the best of times, as you say ‘hoping’ for the best really isn’t the best approach.
Given the limited assessment possible through photos, my advice would be, get a pro in ASAP. In the meantime if you can possibly make the area more secure short term/ remove anything under threat without endangering yourself, do that. There might be ways that doing what you describe could be made to work, (same with Damien’s suggestions) but I would no way advise that over the net.
You might look at it like this – You haven’t lost the pool house (seriously?? pool house??) yet. If you take it on, you stand a good chance of losing the pool house, whilst potentially putting yourself and any others helping out in a life threatening situation. Under other circumstances it might have fallen with those consequences already – don’t act in panic and do anything too hasty and you might get out of this with your pool house and one of your nine lives preserved. That might seem overly cautious to some of the heroes on here, but then all my radcore skillz are in high demand for the “Xtreme” sport of mountain biking – I don’t want to risk spreading them too thinly.