I'm sorry that I personally don't know the answer, but I would definitely start talking to midwives to get those answers you seek. The midwives would know which hospitals are natural-friendly.
Besides, if you pick out a hospital, you might not be able to choose from all midwives; whereas if you pick a midwife that meets your needs (one who understands that you may choose to use medication etc), she can then direct you to a particular hospital.
I took a Bradley method birth class and was determined to go natural; my water broke 30 hours before my son was born and I found that I did not have the capacity for pain that I expected. I did end up having an epidural, and beat myself up about it because I thought my teacher would think badly of me. Then someone pointed out that "You're taking home a baby, not a medal." (Meaning, it's about having a healthy baby and being able to look back on a good birth experience, not about "winning" the "i had the most natural birth" contest.)
In retrospect, I am extremely glad that I gave birth in a hospital and had that option open to me. I ended up with an epidural when my daughter came (about 10 hours from when labor started, 5 from when water broke, only three pushes!) and I felt so great, not wiped and miserable, and was able to enjoy my daughter.
Anyhow, my point is that I'm glad you're open to both possibilities. I've heard that water birth is a great way to go, and I wish you luck finding a place that will support what you want, ahead of time and also if anything changes.