Del the Cat,
I'm afraid I don't have a solution or prevention method to share with you, but I can at least say I have shared in your pain and disappointment. I have a nearly finished lemonwood bow on the shelf that suddenly bent significantly about 3/4 down the lower limb while tillering. At the slow, careful rate that I was removing material, I refuse to believe it was because I removed too much in that spot. It just happened. Unfortunately, it also took on a memory and no amount of re-tillering would help. I re-tillered it until I ended up with a very light draw weight and then tried to back the bow with another strip of wood. That didn't work either; the bend still came back.
Similarly, I have a short bow-in-progress on my workbench right now from a scrap board of purple heart that a friend gave me, that began to bend inexplicably as I cut out the rough bow shape with a saw. I haven't even got to the floor tillering stage yet. I can only suppose that there must have been some residual stress in the stave itself that was suddenly released when some wood was removed. I hope that I can bring it back with heat treating/bending.
I don't know if heat treating your bow might remove the memory in that area or not, but if you try it, I'd be very interested in seeing you post the results.
Regards,
Story Teller