Andy, I know this might be a vanilla response but the first thing you need to do is get a blood test to check your uric acid results and post them here. Only then can you really ‘begin’ to find out the cause for these pains. How do you know these are even gout pains? You mention tophi, did you diagnose this yourself? Maybe your doctor is giving you naproxen because he doesn’t think you have gout at all? Naproxen is used in more then just gout problems.
After answering those questions can you begin to narrow your pains down to their causes.
Good luck mate.