Roberta Shapiro's Goodbye Anxiety This isn't music exactly, but it's guided meditation specifically for anxiety. I've been using it at least once daily for the last month+ and it really helps to relax me. It's free to stream if you have Amazon Prime. She also has another "album" devoted to specific anxiety issues like driving and flying.
So you mentioned that you are going to see a doctor, but are you seeing a therapist? I really think it would help with your anxiety. If you have any questions about seeing a therapist, I'd be glad to talk to you about it (I'm not a therapist myself, but I've been in therapy, and can tell you about my experiences).
In the meantime, something really helpful for relaxing in order to sleep is listening to a guided meditation. I like Roberta Shapiro's "Goodbye Worries" and Belleruth Naparstek's "Meditations to Relieve Stress." It may seem a little hocus-pocus, but at least try it if you haven't before. At first, I was so anxious that I couldn't sit and meditate on my own, my mind was flying around all over the place. So I listened to these guided meditations, and they would calm me down enough that I could sleep OK. It also teaches you how to calm your mind on your own, and that's a great skill for someone with anxiety. I have them downloaded on my phone, and I carry earbuds with me, so I can always just take a little break during the day and listen for a few minutes if I need to.