I moved from NJ to AZ with two clutches of eggs. One hatched on the way and the other hatched about a month after we arrived in AZ. We drove an RV and I kept them in the incubator on vermiculite. I didn't do anything, just pinned the incubator on a seat in the RV. I was shocked how much the RV rattled and after about 10 minutes I figured the eggs would never make it. I used heat packs during the day which kept the eggs around 80 degrees and plugged the incubator in at night.

I would suggest you drain the excess water and try and keep them from rattling, etc. They'll be fine...