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 actually spent a long time forcing myself to sleep on my back because I was a chronic stomach sleeper and was having back pains. Now it’s the only position I can sleep in, lol.