You have my sympathies. Sleep depreviation is a shocker. I don't know if this is helpful or not, as you have already had a horrible experience with CC, but I thought I might share my experience of terrible nights. My DS was a nightmare sleeper and I eventually went to talk to someone from a sleep clinic. They recommended doing a very modified version of controlled crying. It worked like this:
When the baby cried, go in and settle baby. This meant, lying the baby down if it was standing or sitting. If it was lying down, maybe giving it a quick pat on the back. Also, saying some soothing words like "Ok, back to sleep now". Then leave the room. Don't hang around in there.
If the baby continued crying, to go in every minute to repeat the settling process. If the baby was really distressed, go in every 20 or 30 seconds.
Repeat the above until baby falls asleep.
The first night I did it, my DS screamed for a long time but he did get better over the next few nights. I had attempted CC previously and it had been completely hideous. My DS and I were very upset by it and it hadn't worked at all. Doing the modified CC felt completely different. I really believe my DS didn't feel abandoned, because I was going in every 30 seconds. (He was, however, pretty damn cross with me and let me know.)
I would like to say that this kind of CC is a miracle cure, but it all went to pot when another tooth appeared. In fact, in retrospect, I think my DS was such a terrible sleeper because he had a lot of pain from his teeth. Once they all came through his sleep settled down really well and he is now a fantastic sleeper. No method, other than neurofen, worked when he was in pain. Sometimes it is just about sitting it out until they move into a new stage.
Best of luck.