I'm aware I should store my strop somewhere other than the humid climate of a bathroom, but I don't. It's right there hanging on the towel rack. I always strop before the shower, because as you've stated the draw is off and the strop is slick. This may make some cringe, but I blow dry my strop if it gets shower steam on it and I need to strop. I don't recommend my methods, but they work well for me.