Hi OP- I have no answers for you, just sympathy. I am 39 weeks tomorrow and was induced at 41w6d with my first.
I am considering asking to be induced at 40-41 if nothing has happened, mainly for the selfish reason that I can ensure my DS is looked after (I have about 10 backup plans for him depending on the day and time of day but all of them make me nervous!) and to try and avoid peak hour traffic and parking hassles (hospital is probably 20-25 with no traffic and considerably longer in peak hour plus hospital parking is a nightmare!).