The way I understand it Day Dreamer, is that whether you include them or not doesn't matter, as the vote is for RYR employees (which as contractors who are self employed, doesn't include BRK). If you were to include them and they voted in favour of BALPA, I am sure RYR would be front of the queue pointing this out.
Whether this is morally right/wrong is for another discussion. Unfortunately the law is the law (which is an ass at times).
As for being sold down the swanee by BALPA, well that is a great shame, there are people out there like you. You were not the first, and I'm in no doubt you will not be the last. There are people in my company who are not BALPA members for that reason, these are the people I don't begrudge living off my coat tails as I pay my subs. The people I can't stand are the ones taking the benefits that BALPA and our CC achieve for us, while being too cheap to stump up the subs (fortunately they are few and far between).