I’ll go first. After your turn the water off in the shower but before you get out, use your hands to wipe off any standing water on your body. Maybe even give your legs a bit of a shake. This way, you won’t drip nearly as much when you get out, keeping the floor and your towel drier.
Also use a towel or cloth on top of the rubber band so it’s gentler on your hand / skin.
Why it works: this fixes the problem of poor friction; metal doesn’t grip well against skin (especially if your hand is wet or oily). The rubber band grips well against the metal of the lid and your skin (or towel).