Total loss settlement

Hello,

I have a 2021 Subaru forester (had I guess), which I had purchased certified pre owned last year. that was rear ended a couple of weeks ago and the other party admits fault and full liability. The body shop (insurance approved/recommended) took about a week and a half and came back with a repair estimate of $19500 which is more than 80% of the cash value of the car, so they called it a total loss.
The total loss adjuster got back to me with a fair estimate I think.. Car value similar to current listings plus sales tax. At least doesn't seem like a lowball offer. That's roughly the price I see for a used car with the same trim and mileage. They are open to me sending them some listings to see if they need to adjust the offer. Any other tips to increase the offer would be appreciated.

However, my rental car being paid by the other party has to end in 5 days from when a total loss settlement offer was made to me. Now I have to spend my own money to rent a car while I search for a car to purchase. This is going to be a taxing process as you all know.. Visiting different dealerships, negotiations, time and money spent on this. Is there any process to claim some extra money for this? I would've rather they repaired my car instead of making me go through a new car buying process. But that's not happening.

Any tips/suggestions recommended!

Thank you!