Maybe consider leaving at bedtime and driving through the night to have her sleep in the car? DS1 also hated the car, and we did take a couple of trips. However, we did take a couple of trips anyway. I would sit in the back and do my best to entertain with lots and lots of different toys when it was during the day. We did the night travel a couple of times, and it was a mixed bag. On the one hand, it kindof worked, he fell asleep in the car, but on the other hand, he tended to wake up and it was even more disconcerting to see all the bright lights. If your DD does not tend to wake up much once asleep, it might work for you!
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The evening activities thing, though, is huge too. We had DS1 with family at around 1 year, when he was a mess after 6.30 pm. For the Christmas event, we put him down at the house where the evening activities were located. It worked okay, in that he did fall asleep, but he again woke up a lot. We also had to drive him back home (15 mins or so) and that was also disruptive. All in all, it was worth it, even if I did miss a few moments of the evening, since at least we were there for most of them. If it is only a night or two, things can work. More than that, and I'd say hopefully you can stay over where all the activities will be located!
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In short, even if your DD hates the car, it's still doable since you can be back there to entertain. Just plan a lot of stops and breaks into your time. There are ways to make it work for all of you if it's important to you to be there!