Getting the catheter removed could be an issue. I was trying to sign myself out of a hospital once, very much against the doctor's wishes and it took HOURS. The nurses stall and stall with the paperwork and getting you sorted. I'm trying to remember why I was waiting, maybe I was trying to be good? But I'm wondering if I had an IV that they had already said could be removed and I had to wait for that. Wish I could remember properly but I think that may have been the case. In any case I do think they'll stall on removing the catheter if they don't want you to leave. They were making me waiting for my surgeon to visit and he was held up. I didn't mind not seeing him, I knew I was good to go and was content with the decision.

If things get really hairy I'm sure they'll find something "medically wrong" with the baby if they really want to keep you there too. But then, I'm a cynic.