I have seen guys do that and then can roll it back as far as they want. I have a T Tudor but I was going to bend tubing around the inner perimeter and run cross tubing and put a solid roof on that.
If it is just snapped around the perimeter, I'm thinking at freeway speeds it will puff up like a balloon.
As far as puffing in the wind, maybe some cross bars and have tie ribbons sewed into the canvas to keep it down. Will see if I can find pics.
There was a model A done with www.slidingragtops.com https://rmsothebys.com/en/auctions/bb13/auction/lots/r330-1930-ford-model-j