I've seen on the web various windscreen/potstand combinations (generally using stakes through the windscreen for the potstand) and have attempted to make similar designs but it has not worked very well for me.
I've had the same problem, with the windscreen distorting with the heat and the weight of a pot full of water. I have not had good results with lighter windscreen materials, like disposable oven baking sheets, which are my preferred material for windscreens. To get good results, I've found that you have to use a thicker material for the windscreen, but this then negates the weight savings of using a lighter windscreen with a separate potstand. I've come to the conclusion that for me I prefer to use a separate pot stand and a light windscreen.