Hi OP!
The first thing to say is that most people who are induced have a successful vaginal birth without forceps, so please try not to be anxious.
However as you say you are at increased risk of emergency c-section and instrumental delivery. I’m sure I was told that it was something like 20% section and 15% instruments - so combined it’s under 50%!
Think about your choices. Do you want a vaginal birth at all costs even if assisted? Great if so. If not, tell them. Do you want an epidural? If so, insist on it before the drip. If not, you can see how you get on. I asked this and the midwife said that although the contractions are more intense lots of people do manage without an epidural.
You are not wasting anyone’s time to ask a doctor about your options and risks if you would like to.
I was induced and baby born (sadly with forceps) within 24 hours of the pessary so I didn’t have the drip. It won’t necessarily take ages! Being induced also meant I had lots of one to one care throughout the labour and the staff were great. They will really take care of you so try not to worry.
I would also ask them about being 38 weeks, being 2 weeks “early” May mean induction less likely to be successful. I was told when they spoke to me about induction at 37 weeks that it would.
You may need CTH monitoring. I did. If you want to labour in an upright position, this is still possible - get the bed in a “sitting” position and kneel backwards on it with your hands over the upright bit of the bed if that makes sense.
The main thing is remember you have options, both birthing options and advice about not being induced (although sounds as though your doctors are concerned about you going over 38). Not everyone has a positive experience but lots of people do and I’m sure you’ll be one of them!
Good luck - please let us know how you get on! 