((((((((Music Rules Me))))))))))
I understand the distinction between being suicidal and wanting to die very well. I've been there. It sucks. Sending hugs to help you through.
I'm not 100% sure how the medical system in the UK works, but while I was at school there I got my antidepressants for free. I'm not sure about therapy costs because I saw a school counselor rather than a private therapist. It might be worth talking to your doctor about your options. Together you might be able to come up with a treatment regimen that works for you.
Best of luck.