If you're getting shadow care, your ob should be able to hook you up. If not, I'd say the experience of other uc moms in your state is the thing that should most guide you.
While I understand the previous poster's explanation that the baby's type is more important then your husband's, you can test your husband now, and if he's rh-, you don't need to worry about testing the baby. That would make for a much nicer post partum experience, so it's worth doing.
It was not my experience that hospital's would take my word for it about my blood type, or the baby's. The current standard of practice in my state requiredeach hospital to recheck my blood type, and if the record about my blood type was more then about two weeks old, they had to recheck their own tests. If you bring a healthy newborn to the ER for e hogam, you should expect that they will do blood typing on you and the baby, and that you will wait fora very long time. If you can find a sympathetic midwife to do this, or rule out the need, that would be better.
You can order a blood type test for your DH and get one for baby too just so you know what it is for future reference. It's super easy, affordable and kinda fun if you like science projects I hear you can use some cord blood to type baby so you don't have to prick them.
AND if you discover that you & DH and/or baby don't have compatible blood you can decide after the birth if you need it. The only reason is if there was trauma during the birth causing yours & baby's blood to mix, which causes you to develop antibodies to that type of blood, which could affect future fetuses.
I'm Rh- and my husband is Rh+. We've had 4 kids all born at home in some version assisted/unassisted. Many birth advocates believe that it's modern birth practices that create mixing of fetal and maternal blood (cord clamping, early cutting, forced pushing, augmentation, etc). Even with RhoGam after delivery, they added RhoGam mid-pregnancy as protocol and still they're getting sensitized mothers. That said, with each of my pregnancies and births, I never had RhoGam. All 4 of my kids are positive (actual blood test) and I'm not sensitized (actual blood test)... I also didn't force pushing, clamp or cut early or have birth trauma. I always figured that I would get RhoGam if trauma occurred though.
The other thing is Eldon cards are not super reliable. If you actually are concerned about being sensitized and want to really make sure you get RhoGam if your partner is + then you'd want to get an actual blood test.
Wishing you the best possible pregnancy, birth and happy healthy babe!
There is no downside to getting the shots as scheduled, but serious upsides, as you know. True, trauma can make sensitization more likely, but sensitization can happen even without, which is why you get a series, to be safe. If the baby has the right type, you wont need it, but better to be safe than sorry on this one. No reason to risk sensitization waiting to learn the type. Before rhogam, and before any modern birth methods, moms with RH factor lost countless babies. It really is a modern miracle.
(My babies both had Hemolytic disease (HDN) which is what you get from sensitized Rh factors. I'm not RH, but have other antibodies that attck my babies blood (E,C,e). It sucks, and meant long NICU stays for them.)
Good luck with your new baby and UC!