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.
There may be more caveats here :/
I don’t have tile in my bathroom and have a decent vent fan and dry air so I have never had any issues related to this.