I went to Masada when dd was 6 months old. Best thing I ever did! My advice is if it has crossed your mind then you should go. They are so supportive and offer services to help both mother and baby. There were a few mothers there with mental health issues and they were seen by psychologists, psychiatrists or counsellors as required. Even just having a bit of a 'break' and some time to yourself can help enormously.
I read that you don't have private health so Masada may be an expensive option. I know there are some public sleep schools out there but I don't know anything about them sorry. I wish you luck. It's tough enough not having depression and anxiety while missing out on sleep so I just want to say well done. You're doing a great job x