Kitty ignoring the fact that you're diabetic it depends on so many things, like what time you give birth, when the doctors can get to your baby to do the newborn check (they have to be at least 2or4(?) hours old before it's done. Getting breastfeeding established, how many weeks prem baby is, what kind of birth you have, if you have an epidural etc etc etc. ds was born at lunch time and even though he was in SCBU I still wasn't discharged until the next day, this was second birth and I was fine.
I'm not trying to worry you but I don't think it's very likely at all. At our hospital you can hire private rooms for £50 a night, would that be an option to you? Also even on the wards dads can stay in too, does your hospital allow that?
That said both my dc have been in SCBU but none of the other babies on the thread have so there might be some different answers to follow...