Our family did a commute like this for school and it really takes a toll on everyone. You may be able to do homework while someone drives you but you will be spending an hour and a half, when you could be sleeping or doing something else, in the car. For the driver, it’s an hour and a half each way, excluding waiting time for the pickup. It’ll be a decision whether to go back for evening or weekend events (although likely to be fewer at a day school). Weather can complicate travel. Your friends will live closer to school. It could get easier when you can drive yourself, but this could be miserable.
Overall, I would say that this is why BS becomes such an attractive option.