Here is what the Canadian Medical Association Journal has to say about using quinine sulfate for leg cramps:
https://pmc.ncbi.nlm.nih.gov/articles/PMC4347765/
It appears that it is not clearly helpful, and carries a number of side effect risks.

And here is what Practical Neurology had to say about several drugs, including the ones you mentioned:
https://practicalneurology.com/diseases-diagnoses/neuromuscular/muscle-cramps/31559/
It should be noted that while it often helps, carbamazepine (brand name Tegretol) can have significant risks for confusion, falls, dizziness and other side effects in older people and those who take multiple medications. My aunt had serious mental confusion and hallucinations when this was prescribed for severe restless leg syndrome.

All that said, some neuropathy patients do find some relief from carbamazepine - you will need to work with your neurologist to find out if it is safe for you to try.