I'd do it after since:
1) You have what you need already.
2) The holidays are here.
3) You're likely to want to take baby to church anyway,so it's not like these are additional people to see the munchkin.
I'd just tell her that after the baby is born is fine, but way after - like a month after you've figured out what life is like. Chances are that the church ladies will understand you not wanting the baby touched too much.
If you really, really, really don't want to do it after the baby is born, then just tell her that you'd really like it before so that it isn't one more "to do" on your calendar. If you can't agree on a date with her given the holidays, just say "well, sorry it doesn't work out, but thanks so much for trying - my hospitalization just complicated things too much!"