Georgia Ede has written a good chapter on gout. I've got a link to it and other stuff I've found out about it on a page I put together for quick reference. (This page in fact.)
In my case I've found that high uric acid isn't the problem so much as changing levels of ketones. Ketones compete with uric acid for excretion and when you are changing your diet it can bring on gout attacks with both a rise OR a fall in uric acid levels. Modern medical mythology persists with the idea that gout is linked with purines and meat eating. They have found that they can prescribe drugs (like alopurinol) and bring about some relief while dispensing advice like "lower your red meat intake" etc.
I have found that while my uric acid was on the rise during my health decline on a standard diet, it had a bit of a spike (as did my lipids) when I started LCHF and ZC, but then started to go down as I settled more into my ZC lifestyle. My gout 'attacks' seemed to come when I was losing weight (particularly when I fasted for a period like 5 days).
The last doctor I saw regarding it noted that I'd changed my level down to within 'normal' range and said that the best idea would be to take a diclofenac (slow release) whenever I felt a bit of gout pain starting up. This advice seems to have worked and has headed off the gout pain at the pass about 3 times in the last 12 months.
Another possible factor in my lowered numbers on the graph is that I've been supplementing vitamin D3 at a daily rate of 5000IU for the last year and a half. It has such a central role in 500 odd metabolic reactions in our body that I cannot discount it as a player in some of my outcomes.