You sound like you need to get that anger out instead of suppress it. I don't know, but singing and chanting sounds like it pushes the anger down deeper for you. I really don't like when we borrow things from other cultures, expecting it to be a one size fits all solution. The therapist I'm seeing made a point that "mindfullness," and this soft stuff, etc. doesn't work for everyone. With her guidance, I realized that it helps me more to move my body, rather than continue thinking to the point where my thoughts and emotions end up controlling me. I used to be very active, and was much healthier overall back then. I took a martial arts class. Yes, I guess that is borrowing from another culture, but it was something I liked, and wasn't doing just because I thought that the Asian culture knows everything and is so wise or whatever. I just wanted to know how to protect myself. Unfortunately, I took a class led by an instructor 20 years older than me, when I was still a teenager, who decided I was a prime target rather than a very young student. Anyway, that really helped compound my earlier experiences with predators.
I figured out why I am probably like this, and it has to do with trauma, where I dissociated from my body. I think this is why it helps me more to get back into my body with physical activity, rather than live life in my head and heart in some dream like state.
You might try something that exhausts you physically, and allows you to take that anger out in a less destructive way. Boxing, martial arts, or something. I'll be honest, when I was in the class, before it all went down with the instructor, the other students didn't hold back just because I was female, and it felt good to get hit sometimes. But, it also felt good to train my muscles and reflexes.
Oh, and I haven't done DBT. I can't afford to see anyone who actually makes diagnoses, but I know I have BPD, if I had to put a label on it. My thing is gritting my teeth and baring things until they are over, then I run, and THEN I get angry. Eating, crying, punching stuff or myself, driving fast, blaming and starting arguments are my immediate ways of coping. Afterwards, I go for a walk, usually at night, since it's all I got for now. I would eventually like to go back to a martial arts class, but have gotten really screwed up the past 20 years since then. I didn't even know about BPD, or anything like this, so have a mountain of failures to try to forget about.