I came up with kind of an off the wall option. I didn't answer initially since you specified that you like "tidy". So, when I'm the only one in the car, I slide my shades halfway under the pilot panel while it is still in place. To try and be more descriptive, with the earpiece (arms) folded and the lenses facing away from me, I slide them on the right sidewall under the pilot panel so the left lens is actually under the panel and the right side sticks out on the passenger side a little bit. The nose piece of the shades fit snugly on the sidewall of the storage area so they don't move when driving and they are accessible without raising/lowering the pilot panel.
If that description isn't sufficient to relay what I am talking about, lmk and I'll get a picture... after I clean my pilot panel for you judgy neat freaks lol