Nicole, when is your daughters birthday? Will he be in town? If your daughter's birthday doesn't fall on the 11th, then I would choose a day closer to her birthday. If your husband isn't going to be around then I don't see why his opinion should even matter.
Hands down, I would(did) choose Dan over my family, but your family seems to be a lot nicer and loving than mine, so it's a no brainer for me. Bottom line, you should have to choose, nor should you ever be put in a situation where you need to choose.
If YOU want to go to your parents vow renewal, do it! His word should not even be allowed in something that doesn't even involve him. You might not get this opportunity again. It's selfish of him to make the decision for you.
The fact that he's treating you like a puppet rather than a wife is ridiculous! I'm sorry, but a marriage should be two sided and should resolve around love and compromise. Not his way all the way, living in his shadow. I understand with your religion you believe you should always obey his word and request, but think of the people you could possibly be hurting in the end. I'm pretty sure god wouldn't agree with that, nor when they made that rule, did they have your husbands way of thinking in mind.
On the other hand, my doctor advised me not to leave my area after 35 weeks, so you do have a point of being 37 weeks, but if your doctor gives you the okay, I say do it. This is a once in a life time opportunity and I'm sure you will enjoy it as well as your daughter.
Okay, I'm done... off the soap box.