Quoting .Sam.:" Which would you consider more "dangerous?" Disclaimer: I'm not planning on doing either. I'd just like ... [snip!] ... just like to know the general opinion in case I do end up going 2 weeks overdue and have to start thinking about my options."
Castor oil is far more dangerous than an induction. I only say that because there is always an idiot who dehydrates themselves and gets the extreme case of what can happen.
I wouldn't do an induction either. However, I would rather consider an option that has me monitored where I am not a danger to myself.
BTW, these aren't "options" that you need to consider. Your baby will come out. I promise. You will not stay pregnant forever. If you end up going over due you can always ask for a membrane sweep. That can help get things moving along.