I'm type one. (rare adult onset type one. ugh.) Anyway, I inject manually, instead of the pump. I've found I have to check my levels more frequently when I travel. As for keeping the insulin, first I would only worry if the trip was longer than a week or so. If it was long enough to worry about the insulin, I would just throw it in a ziplock and put it in with the food. I usually have a small bag of blue ice, to keep some of the food cold, so I just throw the insulin in with it.
It's easier if you hotel it, mot hotels will have a refrigerator at the front desk, and will store medicine in there.