If you don't want to sleep the same times as your son, you may have to get creative where you put the pack and play. We found at that age it was sometimes good in a closet or even the bathroom. We also had put it in the corner and created a barrier of blankets and chairs. There were a few times where we put her to bed in her pack and play and we left the room and I stayed outside the room and read while my husband took our older child to the pool.
Another hint since it sounds like you will be making multiple stops. Pack an everyday bag with essentials - medicines, bathing suits, pj's, toiletries. Then pack by stays - your Utah night would be one change of clothes for each person only. Dirty clothes would go back in that bag. That way you are only taking in the everyday bag, one small bag and the pack and play. Hauling a whole week's worth of clothes in for a one night hotel stay really gets old and makes life more difficult.
I'm proud of you for taking this leap. Maybe you will do what we have done with our girls. Our goal is for them to visit all 50 states by the time they are 18. Tara is almost 11 and will get number 31 this summer, Elise is almost 8 and will get number 28 this summer.
Most of these states were done on major drives. The first one was 19 states when Elise was 14 months old. We found that contrary to the "stop often" philosophy that it's better to go as long as you can without stopping and stop only if needed. Getting to the destination and relaxing is better. We also have found that 6 hours is the max driving we as grown ups like to do in a day.