Sometimes when we'd pick her up she'll then start gurgling and cooing and blowing raspberries when seconds earlier she sounded like the was being murdered !!?? So surely she can't be in pain?
No, she just wants some comfort and her main source of comfort is a cuddle from Mum & Dad and her only means of getting that comfort is for screaming very loud so that eventually you come and she gets the comfort.
I don't like CC and wouldn't recommend it to others. I say that as someone who has used CC on my eldest when only a month older than yours.
However if you are going to use CC, it needs to be consistent.
This sounds harsh and blunt, but it I don't mean for you to take this to heart or personally. But for CC to be effective, your DD needs to learn that she will not get the comfort she seeks at sleeptime (being picked up, cuddle, breastfeed). Not ever, not at all. No matter how much or how long she screams for - that comfort will never come so therefore she needs to 'give up' and accept that she just must sleep without it. Always. Every time.
You mention one night feed. You mention sometimes picking her up (which she is supremely happy about). These things are not compatible with the controlled crying technique.
Again I will reiterate that I do not recommend CC in your case. But since it is your choice to use, my advise would be that you need to do CC properly and wholly and be consistent.
Leaving baby to scream sometimes and then at other times not only picking her up to cuddle her, but giving her a special breastfeeding cuddle - will be mixed messages and leave her confused.
An 11 month old cannot be expected to understand that sometimes she is "allowed" a breastfeed when she is upset. Sometimes she isn't. Sometimes she is "allowed" to be picked up. Sometimes she isn't. Sometimes she is "allowed" to have a cuddle, sometimes she isn't.