Most gerbil houses I've seen wouldn't be nearly large enough for a chin. Can you post a picture or a link to the house you are talking about?
I personally would not drag a chin around on vacation. Some chins do okay with it, others do not. It's new sights, sounds, smells, people, animals, environment. That can be very stressful on a chin. I would try first to find someone who can chin sit for you, come in at least once a day to feed, water, and check on the well being of your chin, make sure the temperature is good where your chin is, etc.