No way are you a failure, you can't control your baby's desire for sleep - or not sleep, as the case may be! Good for you not letting her scream, you're right, it's a waste of time and you end up both being miserable. If she likes to rock to sleep, can you use a sling during the day and carry her round while you do the housework/look after the others? She can feed in it too while you do your jobs.
Agree with the others, breastmilk will fill her up better than anything else, you're saying breastmilk is still her main food and that's exactly what research shows should be the case - up to 12 months, solids are just something for them to play around and experiment with, not a main food source. If you tried purée you'd probably end up with another battleground, at least with blw you can leave her to it.
Re nighttime feeding, it does sound like a growth spurt, which babies have around 9/10 months- there's another recent thread on here about someone with a very similar problem, so you're certainly not alone or a failure in that regard either. The good thing about a growth spurt is that it'll pass, but in the meantime, how do you feel about feeding while lying down or co-sleeping? Or are there any times the others are at playgroup when you could graba daytime catnap with the baby?
I'd say you and your baby are doing everything right, and she's obviously thriving, I hope that and the knowledge it'll pass help you to hang on in there. If it's making you feel demoralised about bf is there a group you can get to for some moral support?