My screens fit neatly, in their cover, flat on the shelf behind the seats. Not sure why yours wouldn't? I have a hood cover which matches the rest of the weather equipment. I tend to use that in the summer when the (easy-up) hood's permanently down. But TBH I don't find the folded hood that untidy even without it - and it doesn't flap if I tuck the side flaps inside the hood frame. Later hoods have press studs on the frame to clip the flaps to: mine pre-dates that minor mod - although I keep thinking I might add some studs for what it's worth.