My ped's office nurse just asked if I'd had the baby at home and I said "yep". But then I had a mw who offered to do the BC stuff for me since I guess it is a hassle here in NV going to the registrar's office in the capital, getting notarized letters. It was very nice of her. Maybe you can call around and see if anyone would be willing to do the bc stuff with you and seems laid-back about it? My ped is really great and laid back about everything I do/don't do with my kids. There were no questions about uc or gbs. I'd cut the cord myself, I think it was kind of a long stub, didn't phase her or anything. Also, ds was having some funny mec poops and she told me to keep an eye on it for 24 hours. We ended up doing a vit K shot at 5 days at the mw's office at the same time as the pku but I'm sure we could have also done it at the ped's office and it would have been okay.
I think having a hcp that you know is easy going about your child's health really helps. And they do exist - I hope that this is the case for your babe's ped.