Two years ago in early spring, I drove two hours to retrieve an order of four day-old chicks. I brought a twelve-inch diameter wicker basket lined with fleece deep and fluffy and snugly. I took the basket into the feed store that had ordered the chicks for me, and after making sure they all had drunk some water, I packed them into the basket, placed it on the car seat beside me, and started on the trip home. It was a sunny day, mild, and the sun warmed the area where the chicks sat on the seat on the way home. They mostly snoozed the entire trip.
When I got them home, they each got a drop of Nutri-drench, and a waterer with a quarter teaspoon of the drench mixed into a quart of water. They were then introduced to their Mama-Heating Pad and they thrived.
The previous spring, an order of four chicks were in transit during a frigid cold snap of miserable 30 degree weather for three days, the last twelve hours spent in a postal sorting center 100 miles from me. I was a wreck from the experience, but the chicks did just fine.
Keep your babies warm and out of any cold drafts, and they will do just fine for the short drive they need to endure.