It IS a hard decision, mggt... .
From what I see, your dd needs to be driving, so you want to keep her in that position. At the same time, if you keep supplying vehicles, it let's your dd go on with irresponsible behaviors.
I will have to way all the options before we make final decision. We have offered her every which way to help but she wants to live and do what she wants.
Are there conditions that you have stipulated that she violated?
Are there ways to provide a vehicle but motivate her to keep safe with positive reinforcement?
You may come up with something better, but just to give you a general idea, this would be one option:You could tell her that you want to help her out, because you understand she is in a hard position and can't afford a car. At the same time it has been costly for you too, so this will be the last vehicle you will be able to provide, and you are going to loan her the money for the car and expect her to repay it. For every month w/out an accident, you will deduct a certain amount off from what she owes. And if she has another accident, the cost of the repair will be tacked on top of what she owes.
If she has no extra money and if you are providing financial help to her, you may reduce the amount as her "monthly paument."
If there are any safe-driving classes in your area, this may be another way to incentivise her (deducting more money from the loan, if she completes the course)
It depends on your dd's abilities - if you think she would not be able to do this, you would be setting her up for failure. If you think she is well able, this may give her motivation to be more careful.
Does that give you an idea? What do you think would be your best options for your dd?