What part of the chicken or turkey are you eating? Eating the dark meat of either can trigger a gout attack, whereas eating the white meat will not.
I have suffered from gout for over 25 years, and I have found that gout attacks can come and mimic other painful maladies. I have had gout attacks when I was positive it wasn't, only to be confirmed by the doctor.
I had an old chinese woman come to me one day as I was limping to my car. I never saw her before, but she could tell it was my knee. She told me that I should eat beef tendon to help rebuild my knee cartilage. Beef tendon is hard to find, but I am a butcher by trade, and I have taken the old woman's advice. She was right!