I know exactly the type you mean, as I pack one if I'm travelling overnight by myself; it holds two 4 ounce pours, perfect for one.
Just wrap each one (take it out of the holder, of course) in bubble wrap, or even newspaper, and stick it in a quart zip lock freezer bag, then pack it in the middle of your suitcase.
I pack my clothes in the 2 gallon ziplocs anyway; I neatly fold a few tops, shorts, etc, slip them into individual bags (I label mine with a marker), then squish as much air out as possible. Sitting on the bag while doing the final seal really helps.
It makes packing more compact, protects the clothes, keeps them relatively unwrinkled, and you can rummage through the bag and pull out the exact one you need without disturbing everything else. It also gives you a supply of storage bags for dirty clothes, wet bathing suit on the way home, etc.
Just finished a 2 week, "live out of your suitcase", tour and the only time I had any wrinkles was after hand washing some shorts.