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.
Are you talking about one of the erasers that is like a piece of industrial carpet on the bottom, or the other type that’s foamy rubber (like what the sole of a running shoe is made of)?