Dan,
They can't decide to total your car. Because it isn't your fault, it is entirely up to you, not them, not their insurance co. to replace/repair the car. If you were at fault, then your insurance co. could decide to total the car, because they have a vested financial interest in it, with agreement with you. Seeing as Les Schwab doesn't have this agreement, nor their insurance co, in regards to your car, they legally pretty much have to do what you want, within reason. I think what you're asking for is perfectly reasonable
Can you go straight to their insurance?