Welcome to HEALTHCARE MAGIC..
I have gone through your query and can understand your concern..
As per your complain pain on cheek due to nerve damage secondary to nasal polyp surgery seems to be due to injury or damage to any of the branches of Trigeminal nerve
as it is fifth cranial nerve
and supplies sensations to face..
As it is a neurotic pain the anti-inflammatory painkillers like Ibuprofen or Acetaminophen
can provide some relief while narcotics/opoid painkillers like Morphine, hydrocodone can also give some relief.
But the actually indicated medicines in neuropathic pain
are anticonvulsants like Carbamazipine, gabapentin , lamotrigene etc..
Baclofen that is an anti-spasmodic painkiller can also provide relief..
I would suggest you to consult a Neurophysician and get evaluated and after a thorough clinical evaluation he can advise you appropriate medicines and also other treatment modalities like relaxation therapy
and accupuncture can also be advised..
Hope this information helps..
Thanks and regards.
Dr.Honey Nandwani Arora.