Adjuster valuation

I recently got into an accident where a drunk minor crashed into my legally parked car. Unfortunately, he only has minimum coverage, and my car is completely totaled.
I’m worried that his insurance adjuster might lowball the pre-accident value of my car. For anyone who’s dealt with a total-loss claim before, how did you challenge the insurance company’s valuation? Did you use comparable listings, an independent appraisal, or anything else? What was the outcome?
Any advice or experience would be greatly appreciated. Thank you!