I have been suffering from gout since the early 70’s and was on Allopurinol. I did however suffer a reaction with inflamed fingers and sensitivity. The CAA cardiologist who I was seeing about another problem suggested Probenecid which is an old drug which I have used without any side effects.
Unfortunately Probenecid has now been withdrawn in the UK because of lack of demand. My Chemist now gets it from abroad with the agreement of the NHS. If anyone gets the same reaction from Allopurinol I suggest that you give it a try.