For me, the burning is my daily companion. I have tried a few things over the years:
Neurontin helped for a period of time. Now for me my most effective approach-
* Lamictal. An MS Neuro doc started me on it years ago- off label use and not as commonly talked about. It helps alot to take away thw worst pain
* Ice Pack and cool showers can reduce intensity on really bad days
* Special cream from PT doctor for topical use. It contains a special blend of many oral meds (baclofen, neurontin) and a special blend of other things). It is made by a local pharmacy. It is very helpful daily applied on the worst areas. Nice because it does not add a bunch of extra chemicals to my whole system.

Sorry for the long post and hope it ia helpful.

I smoke medical marijuana for the burning pain and it helps!!

Nerve pain is so difficult to understand and management seems to be just as challenging. During my most challenging years with pain I focused on mindfulness, relaxation techniques and humour. Studies show that laughter can ease the intensity of pain. Don't get me wrong, I wasn't laughing with joy lol... I would lay on the couch and turn on the comedy channel. Between, trying to relax my breathing ( as I would hyperventilate during acute pain), cleared my head ( if I focused on the intensity, my stress level would go up and then my pain always increased too) and then whatever joke I heard would make me smile on the inside and offer a distraction too.
It is a journey of patience and inner calm when dealing with neuropathic pain. I wish there was magic solution and pain can be very cruel. Good luck on your journey.
On a side note, I did take a medically prescribed cannibus pain medication but it requires private insurance as it's incredibly expensive ($40k/year) . Not sure where you live but with the legalization of cannibus in Canada we now have dozens of licensed medical doctors specializing in treatment with the product... so much more affordable.
My mother in law as acute burning and is trying a blend of cbd & thc in hope of getting some relief

Nerve pain can be described in many different ways but intense burning is a common description. I has severe and debilitating nerve pain for almost four years . I personally did well on high dose gabapentin at 2400mg daily. Cannibus was also in studies to manage pain but that's a personal choice.

the pain sounds like it is a neuropathic pain, and is worth a chat with your Doctor.