Though your symptoms are a bit more severe than mine, I can relate. I have MS and assume (no Dr has confirmed my self-dx) that it has caused damage to the trigeminal nerves and thus causes sx similar to TN. It seems to me the biggest difference is that my, and apparently your, pain can start in the morning and not relent until sleep. I often woke up with it again in the morning.

The only thing that has brought me any relief is Lyrica. I take one tabl twice a day. Have you tried that? If I skip a dose or miss a couple of days, the pain returns. So it's better the longer I stay on them. It's been a couple years, and I'm nearly pain free.

I also after years of pain in the right, now have pain in my left too.

Hope you find some relief.