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I was making 13kts, and I think some centrifugal force from the hard turn along with a 20kt gust pushed me over.
Yes 13 kts on a H16 upwind is pretty good. When the boat heels up and you turn up into the wind, there is a centrifugal force that makes it want to sway leeward for a moment so you have to react before you hit the tipping point, and of course dump sail and get weight off the side. I try to pinch high make small turns, but if the gusts are clocking around a lot that can be hard.
The only additional thing I can think to suggest is when there are strong gusts, after you get weight over the side on traps, hold the main uncleated and steer to maintain your trim, if there is still too much pressure hitting you then let the travelers out a little at a time to depower the boat upwind. Make the jib match the main - travelers in similar positions.
There are a few other things you can do before going out, like crank the downhaul to stretch the main as tight as possible and rake the mast back a bit by pinning the side shrouds in lower holes on the adjusters. Be aware though that raking the mast back pulls the center of gravity backward, giving you more weather helm and a stronger pull on the tiller. There are books on all the aspects of rig and trim. Check out Catamaran Sailing for the 1990's by Rick White. It helped me a lot.