I also throw mine in the bag and then the bed. I have leftover bungee straps from a jk alien sunshade, and I use one to strap down the bag to the back ring in the corner of the bed to stop any sliding around.
Can you use the mesh bikini tops with the sunrider? My Scandinavian blood doesn’t take well to the direct sun... I know, I know, why did I get a Jeep?That's why I got the Best top Sunrider. It opens with two latches very easily and I don't have any storage issues.