We went through the same thing. Travelling by car anywhere was a nightmare! To this day, my daughter still refuses to go in her pram/stroller.
I'm sorry that I don't have any magic solutions for the car. We found, however, that if someone sat in the back with her that often she would scream until she tired herself out and then fell asleep and then - later on - if you played with her or made sure she had her favourite toys to play with she was fine.
I can tell you that a few months ago (she's currently 11.5 months old) she became pretty good in the car and life got a lot easier. Last week was the first time I drove alone with her in the car and she was great!
I'm no expert, but it could be because they don't like to travel backwards.
As for taking her out, we take her in baby carriers and she is ecstatic. She gets to be close to us and we get to talk to her and show her things along the way. It can get a bit tiring, especially as she gets heavier but it's much better on your back than holding her in your arms.
Good luck,
Rochelle