Probenecid is an option, but only really effective if you are an under-excreter of uric acid. A 24-hour urine test can check this, and should have already been ordered – or is your doctor out of ideas? Other uricosurics are available, but probenecid appears to be the most effective for gout.
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I have a feint recall of allopurinol de-sensitization, but can't remember how effective this is. Basically, you start on a low, tolerable dose, then increase in tiny increments. Best consult a rheumatologist about that.