I had a similar issue with my X last year. Wife got hit on the highway, about 5k in damages. I called one of those personal injury attorneys, he gave me the number of his independent DV adjuster.
I had my insurance company pay for all the repairs, got the police report and had them go after the at-fault insurance company. Meanwhile I took the now fixed X to the DV adjuster and had him write up his evaluation (over 30 pages all said and done).
After the insurance companies were done arguing I ended up with all the repairs paid for, my rental fully covered and my deductible refunded. Then, I sent the DV report to the at-fault insurance company. Within 30 days and after about two emails reminding them, I got a check in the mail.
I had my insurance company pay for all the repairs, got the police report and had them go after the at-fault insurance company. Meanwhile I took the now fixed X to the DV adjuster and had him write up his evaluation (over 30 pages all said and done).
After the insurance companies were done arguing I ended up with all the repairs paid for, my rental fully covered and my deductible refunded. Then, I sent the DV report to the at-fault insurance company. Within 30 days and after about two emails reminding them, I got a check in the mail.