Sounds like I’ve been in almost the exact same position as you! My bunnies go with me on 6 hour car rides on my breaks to visit my parents with me. My two rabbits are very different personality wise. One rabbit is super relaxed and loves new environments and people (I think she forgets she is a rabbit sometimes). She’s done the back and forth many times and never seems scared. The one time she needed time to adjust was the first time she moved to my current apartment…the street noises were much louder than she was used to, but she adjusted very quickly.
My other rabbit is extremely timid. He did the drive fine, but I left him in his pen for two days (as this was his first location change and I wanted to give him time in a familiar place). He was very nervous the first time I let him out, and kept running back to the cage. The next day however, he was begging to be let out!
I’m sure you’ll do fine, just consider leaving your rabbit in her cage for a bit if she is a nervous gal. With lots of head scratches of course.