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.
I hang it up to keep it out of the way and to keep feet that haven’t just been washed off of it, so it’s more of an added bonus. Plus, I’d bang the shit out of my elbows trying to dry my hair in my shower stall and if I don’t dry that first, it’s pointless.