關於我的車禍的結果--請教

Hi, I had a car accident three days ago and now I got a response from the guy's insurance compy , they will fully pay the cost of my damage. They gave me two options ---1. go to their desinated and perferred body shop. 2. go to my perferred body shop and they will have an adjuster from their company to my shop and evaluate my car. It seems to me that I may need to choose their body shop, because I am afraid that if my shop gives a higher estimated repair cost, they maybe will not accept it, and after the repair, if I am not satisfy with the repair result from my shop, I probably have no reason to ask more, because they would say this shop is your prereference. That is the reason why I am thinking to use their body shop, if I am not satisfy with them, I can ask more until the repair is well done.
I don't know if my thought makes sense, I really need your help to go through this, if I can get anyone's advise, that will be greatly appreciated. Thanks!