our little girl was never as frequent a waker as yours is, but we found that hard enough.
I clearly remember me and DH having a chat about CC at about 6 1/2 months and deciding we couldn't do it and it was wrong and evil, and then just a week or so later, being up with her again, with her not actually being hungry, sleeping badly in my arms but complaining if I put her down. I was so distressed with her 'neediness' and my not being able to do anything to help.
We instantly changed our minds and started CC!
It was hard, but after 4-5 nights she slept through (at least, that's how i remember it... might have just been more hours in a row!)
She's so happy now that she's sleeping well.
I honestly believe that when you feel something needs to change is the time to make that change.
CC really worked for us, and lots of our friends and their little ones too.
Good luck. When you're that strung out, it feels like nothing will get better, but it happens so quickly... and then you'll get back to enjoying your lovely little one again.