I had a similar issue. Hit by another car, totally their fault. They insurer - Churchill - was dragging their heels for weeks and my insurer didn't seem to be bothered either.
Local garage recommended a local law firm. Within the day I had a hire car dropped off to my door. (My own insurance didn't have any hire car in my policy)
My vehicle was inspected and advised to be written off. The company used prices of exact same make, model and age as my car from Autotrader to get me much more than the "book price" Churchill were offering.
And it was all settled within a week.
Sometimes they can be called ambulance chasers but it really helped me at no cost to myself.
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