If you find a hotel that will take dogs, then you're going to be just fine. I never actually tell anyone I've got rats in my hotel room, and just hang the do not disturb sign out. At a show one time, my roomie and I quit counting at 100....

When I travel with my rats, I put a white towel over their cage to keep the sun out. If it's hot, I can also get the towel wet for a swamp cooler effect. It also helps them stay a little calmer. They probably won't sleep much in the car - mine never did. But they'll sleep hard at night! You can also get a little tiny bird dish that hooks onto the side of the cage to put under the water bottle, just in case it does leak a little (my water buddies never have unless they get litter caught in them). You can also give them a little yogurt or benebac to help their digestive systems out. Sometimes travel can give them loose stools.
I think you should be set for your trip. Rats actually travel pretty well!