OP, I get it. My DD is 2 and a half now but oh my days, 9 months was a killer for me.
This period for us was short-lived, 3 weeks or so. But I can attest to the fact it is imprinted on my brain that it was horrific. There's a reason sleep deprivation is used as torture, it's barbaric. What you're feeling about your DH is driven by that torture - personally I think it's because we can't possibly blame our babies for the sleep deprivation so we latch onto the closest person we feel we can blame and this just happens to be our DHs.
Honestly, it's going to sound wild but one of the things that got me through that 'resentful' period with my DH, was being brutally honest about what I was going through. I'd message him in the middle of the night while I was laid holding DD's hand, I'd tell him how long I'd been awake, how tired I was, what I was having to do. It made me feel better even though he couldn't do anything about it, at least he knew not to wake up and moan about his sleep. It also made me feel less alone weirdly.
I'm not going to tell you what your 'only options' are. I will say, I never wanted to sleep train in any format, but this was the point I questioned my choices. I didn't in the end but I wouldn't judge anyone if this was the point that made them decide that sleep training was the right way to go for them. Only you (not your DH as he's not the one sleep deprived) know what's right for you at this stage.
I did all the 'wrong' things according to some people on this thread. I breastfed to sleep (even in the middle of the night) until my DD was 13 months old, when she just 'decided' she was done one day and I stopped breastfeeding just like that. Don't be disheartened from the posts if this is what you want to do, my DD now sleeps so well, although she occasionally will wake for a drink of water, like some of us adults do too.
Maybe your DH needs to take charge for one night (even if that means pulling an all nighter in front of the TV) just to allow you to get a solid block of sleep. I know even a singular night of sleep gave me so much relief at that stage.
I hope you get some good sleep soon.