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.
And if that doesn’t work, you can bop the side of the lid with a butter knife a few times, tends to release the most aggressively stuck lids. Downside is the lid is permanently dented, but small sacrifices.