I was induced with my DD and I don't have a traumatic story at all. Actually my birth was beautiful. Like everything in life there are good and traumatic induced births and good and traumatic natural births.
I completely understand wanting to go into labour naturally (I did too) and not wanting heaps of medical interventions but can you negoiate limited induction. Like they can break your waters but that's it or you'll only have the drip.
Definitely do not miss your dr's appts but go and talk to him about your options and what you would like and see if there is a middle ground like extra monitoring that the girls have mentioned.
Best of luck. Let us know how you go. Fingers crossed you'll do it all yourself.