I must be a weirdo too...I also find angry music both beautiful and soothing lol...I'm a huge Metalhead.
But as far as soothing music goes I love, love, love Tori Amos. Her song 'Bells For Her' is my go to song when I have panic attacks:
There's an Icelandic singer named Emíliana Torrini that I enjoy:
Also Bjork
A retro Swedish rock band called Graveyard:
One of my all time favorite bands is Clutch. They have some ballads that are incredibly soothing. Singer Neil Fallon's voice is like butter.