Graham, it sounds to me that you have the 9 or 10 stud fixing "non easy up" hood.
In which case I think most don't just fold it down still attached to the frame but remove it completely then fold it and stow it on the back parcel shelf.
It take a few minutes extra but it's a lot neater.
Excuse me if I've misunderstood your hood type.
That is exactly what I do using an old towel to protect the clear screens, provides neat stowing and space on the shelf never had an issue putting the roof up if rain comes along.