I traveled across the country with my 2 beardies - 3 days on the road.
Mine loved to sit up on the dashboard (I had a dashboard cover that was like, kinda fuzzy - kept them from sliding around). If they tired of that, they sat on the passenger seat in a towel.
They slept in the bathtub in the hotel, LOL. I put a towel down and a couple heat packs (those hand warmer things that you can buy in the camping section).
It is remarkably easy to travel with Beardies! I actually think they enjoy the adventure!