It's kind of hard to remove "humidity" when the skylight is directly above a SHOWER. All you can do is run your ceiling fan when taking showers and hopefully, that will pull any humidity from the shower outside with the fan.
In my new 5er, I did some creative re-plumbing and the shower is now HOT! But that produces a lot of steam. And steam is "humidity." And "humidity" condenses on everything, which isn't good.
So I found out, if we shut the bathroom door and turn on the ceiling fan and open a near by window in another room, the air pulls under the door of the bathroom and all the humidity with it. There's never any steam or fogged mirror any more doing this, even in this winter weather. (We used our camper last over Thanksgiving week). But it was pretty cold and the bathroom fogged up pretty easy.
After the shower is over, turn the fan off and shut the extra window. This simple step will help keep humidity down in the bathroom and keep it from spreading outside the bathroom. With the bathroom fan blowing to the outside, any air leaks in the "attic" of your camper that may be around your skylight, the air will be pulled inside, rather than shower humidity trying to escape outside.
This simple step should help your a lot cutting down shower humidity. An oh yes ... with that fan running when taking a shower, especially in the winter ... yep... it's a "burrrrrr" moment when you step outside the shower. But, I think you will warm up much faster than the dampness in your attic will dry out!
For the remainder of your camper, under normal winter use, where its warm inside and cold outside, condensation is going to happen. A dehumidifier is about the only, least costly and most effective solution.