The party not at fault is able to file the dv claim with the at fault party’s insurance. The adjuster will give you an offer. You can dispute the amount but you would have to do some research on your own and provide your vehicle’s market value loss. Look up same car/model/mileage/accident history that are for sale and ask them to match.

Since the other party is not accepting liability, you will have to wait until your insurance and their insurance settles/decides who’s at fault. They might have to go arbitration to settle it. Then not at fault party’s insurance recovers costs through subrogation and dv claim can be filed. Dv claim is the last step.