Oh wow that's pretty bad. I didn't realize the extent of the damage. I don't think anyone can tell you if a shop is going to mistreat your car. If they are reputable then I don't see them taking your car out and beating the snot out of it. If you had a AP I would say put it on Valet Mode but since that's not an option just have faith that they are a honorable shop and do the job right without joyriding in the car.