Extra tie outs may help, but you would have to have something that clipped to the tarp. There may be a piece of equipment out there that does that. Kinda like a spring loaded clothes pin, but better.
I could have pitched farther into the woods, or "created" a wind break with fallen branches too. Something to break the wind would be the most effective method here. Although I would have messed up my view of the lake in the morning. Which was awesome btw.