I'm a few weeks behind you and have been looking into this too as I'm currently breech.
Other previous breech MNetters say that their babies often didn't turn until the end of the 38th week, so there is still time for you.
ECV (turning) is meant to have a good success rate (between 60-70%). You should make sure you ask which consultant will be doing it and see how their success rate measures up against this, as success seems to be based on skill and experience.
I'm keen to avoid a c-section (major op with associated recovery time and scarred uterus - but also v successful process) and have always wanted to give birth naturally and at home. Saw my midwife yesterday and she said that, although they wouldn't 'let' me labour a breech at home, it doesn't necessarily mean a c-section because as long as I'm in hospital and the baby is in an okay breech position (think it's the footling breech that they get twitchy about because of the risk of cord prolapse) they'd be game for me to have a vaginal birth.
Remember too, that you can try and labour vaginally and if it's not looking great, you can go for a c-section from there. That's my preferred option, although many people hate the idea of leaving it all to chance.
Disappointing, isn't it? Especially when you think the stats are about 3-4% for a breech, it feels dead unlucky! I'll have my fingers crossed for you for a late turn!