I drove from Seattle to Yakima, when my baby was just 2 weeks old. He slept all our trip. It was awesome ))) but be ready to calm down baby, when he/she wake up. Get a toys and calm music in your car. Also plan your stops in GAS stations or Starbucks to feed baby or change diaper. Our last trip to Olympic National Park was when my son was 3 month, and he cried half way. The one thing can calm him is a white noise) get the app "Sound Sleeper") it will help you)
I drove from Nevada to Kansas when my daughter was a month. All she did was sleep and she only woke up when she got really hungry or her diaper had poop in it.