If I was personally having a baby in a hospital I would go with one of these three choices below and use the midwives. They will be more open to your requests and won't look at you like you have two heads like many OBs will. As for monitoring many are open to intermittent monitoring(which is usually 15min on, 45 off or something similar) after they get a good 20min read on baby. That being said if you are planning medication you have to wear the monitor for 20-30minutes before they give you the medication and for the rest of your labor. Natural birth is a pretty amazing thing, it is very hard work, but also very doable with the right support and education. I work with lots of mamas trying for natural births and many have had previous epidurals and when they finish their natural birth they say it is like night and day with how they feel after, so it is something to considered since it sounds like you don't want the baby exposed to unnatural substances(the epidural medication does go to baby).
UIC-allows 42w pregnancy, lots of natural birth patients, very low c/s rate, wireless monitors that can be used in water, two deep tubs for labor, big showers every rooms, hopefully getting waterbirth soon, open to gentle slow inductions. Negatives are lots of students(though you can refuse them) and it is a large group so it is hard to get to know everyone. I haven't had a sibling birth there yet, but they may be open to it. I have had clients refuse eye medication, but not vit K there. Even though it is miles wise farther than West Sub it is right off 290 so it takes the same amount of time, sometimes faster.
Swedish-Sometimes allows for 42 week pg, labor tubs/shower in every room, birthing stools, few students, lots of natural births, and nurses are used to low intervention. Negatives no wireless monitors so if induced you are stuck on a short leash. It is a small group and all the midwives are very nice and supportive. They will box your placenta up no issue and most of my clients don't do eye medication and some have refused vit K without issue.
West sub-Allows 42w pregnancy, they have two rooms specifically designed for natural birth that offers water birth, have queen size beds and so on, wireless monitors, lots of natural births, showers in every room, used to people taking a placenta and refusing different medical treatments, siblings at births is allowed as long as their is one adult for that child. Negatives, if ABC is full no water birth, hospital a little older looking. If you are planning a natural birth and the ABC is open you are given priority, once in the room they don't offer pain medication. If you change your mind and decide medication is needed they will move you to the regular labor floor. There are two midwife groups and I can't remember which takes medicaid.