Hi, just wanted to say I feel your pain! Also 5 days overdue, and I'm going for a sweep tomorrow. I also have the feeling that the baby just doesn't want to come, but I've been planning a homebirth so want to give sweeps enough time to work as any other intervention would require me to labour in hospital.
At this point, I feel as if it's probably best to just get her out safely, regardless. Risk of stillbirth rises after 2 weeks overdue because of placenta failure, so I have been told, and we went through so much to have this baby I would rather be induced and have my little girl here safely, even if she'd rather be inside my tummy!
How much information have you managed to get your hands on? I think the most important thing is to get as much as you can, so you at least feel informed about the stages of induction. Sweeps are the least invasive and you can have two or three before they'll start to pressure you to do anything else. Statistically, they tend to start things off rather well. After that, it will be a pessary of prostglandin (similar to hormone in semen, hence why sex is recommended) - they'll make you do it either first thing in the morning or late at night and stay in hospital that night. They monitor you and the baby for about an hour as sometimes it affects the ba by's heart rate, then give you about 6 hours to see if anything happens. I think they tend to do that twice if it doesn't work the first time, but after that they move on to the synthetic oxytocin drip or trying to break your waters, if they can (if your cervix is still tightly closed they can't). If those still don't work, you'll go for a c-section. The oxytocin drip can make contractions more painful, as they don't build up slowly in a wave but tend to be more of a sharp peak (if you imagine them on a monitor, like a heart rate), which is harder to deal with. it makes it more difficult to time gas and air to relieve pain, so you'll be more likely to have pethedine or an epidural. I've also heard that having your waters artificially broken can make your labour suddenly much more intense.
So, you can see how intervention escalates and why most women like to give their babies as much time as they possibly can to come out by themselves. Unfortunately, I don't think I am brave enough and I'm just too anxious for my baby.
Gosh, long post but I hope it helps a bit