Sorry I didn't check this board for awhile ....
I've given birth at Sheridan Memorial twice, no problems at all - natural birth, no interventions. They had a quite supportive of NCB birthing class, and the policy is supposedly no episiotomies (I don't know whether they happen sometimes per doctor discretion or not; I haven't had them though).
My OB is Dr. Scott. I chose him because he's my aunt's OB and my cousin's, and was quite practical with my cousin's unplanned UC about a decade ago.
My aunt had five NCBs so I figured she'd choose a gynecologist who was 'down' with that. That said, I've friends who use Dr. Gill and seem to love him too - I think that it's possible (amazing, but possible) that we might have two midwife-minded OBs here? I don't think either will deliver breech. Dr. Scott had a CNM in practice with him for awhile before she decided to go back to CNP and works for Dr. Gill now (better hours with a wee one I think).
If I were you, starting fresh, I'd contact both the Buffalo and Sheridan hospitals and ask the c/s rates there. And then maybe check with Dr. Gill and Dr. Scott, ask the same question. Bearing in mind that Sheridan (and Buffalo too I suppose) have a no-VBAC policy, so their c/s rates will be skewed a bit from having to do c/s for all their former c/s clients.
We've had two births and one m/c with Dr. Scott. He's very practical, nonjudgmental, unbiased. He's got a statue of a breastfeeding mother in one of his exam rooms (small countertop one). He's been supportive of breastfeeding past a year, and of the elimination diet I've been on with both girls. He didn't blink an eye over us wanting a natural birth, and not wanting to circ.
We've actually been talking about traveling to MT to birth if we have another, because the hospital birth costs so much more here (check that out too, you may want to consider driving to Gillette, when I checked they were cheaper than Sheridan, Buffalo, or Casper - Billings is about half as much as giving birth in Sheridan, I kid you not). BUT, both dh and I really like Dr. Scott, so it would be sad for us to give birth without him there.
I should add - my family births quickly; #1 was born after four hours in the hospital (she was posterior but turned at the end); #2 was born after 45 minutes at the hospital (maybe, probably less). So the staff really didn't have time to interfere alot.
I've had good nurses, and annoying ones. A great LPN reminded me about proper positioning with #2 (I was nursing as if she were a toddler, instead of tummy-to-tummy). But there are always the nurses who tell you not to let the baby nurse so much or "you'll be a human pacifier" etc. My first L&D nurse was great, very relaxed, "Obviously what you're doing is working well for you." The second one was, I think, just scrambling to catch up because she hadn't thought I'd be as far along as I was.
We do vax, so didn't deal with that at the hospital. It's hospital policy to do pitocin with the third stage of labor (placenta delivery). We didn't know better with #1, but with #2, told Dr. Scott we wanted delayed clamping and no pit. The nurse bustled in to do it anyway and he was VERY firm with her, told her to get it out of the room, it better not be on my bill, etc. etc.
He's good with "baby straight to breast," too. Didn't push about due dates (#1 was 10 days early, #2 was on her due date). I don't know if he gets pushy later (that's I suppose another question to put to both OB's). And, he asked after #2, whether I was happy with the birth and did he do a good job.
I like Dr. Scott more than the hospital. I hate the "every hour on the hour" check they do on mom/baby (they seem to time it so they check babe one hour, mom the next, and I get no sleep at all); the nursery nurse did help me rig the bed so #2 could sleep next to me in bed though, so that's nice.
So basically I'd like a homebirth with Dr. Scott.
I just noticed you're pregnant with twins -- definitely bring twin delivery up with both OBs and see what they say. I think a lot of OBs default to c/s with twins .... I don't know what either OB would do, per se. Maybe see how often they've delivered twins vaginally? And what they 'expect' in order to do that, vs. c/s?