This is a job for the insurance companies to battle out. Since you were hit from behind, it was the persons who hit you fault, and it should cost you nothing to get your car repaired. Have it towed to a repair facility, get it fixed, checked out for any hidden damage, etc, and have the other guys insurance pay any and all costs, including towing. Also, have the other guys insurance pay for a rental while your car is in the shop.
05 Taurus SEL Duratec - my daily driver
04 Taurus SES Duratec - wifes car
95 Taurus GL Vulcan winter car
Toy #1 - 86 Tbird 5.0 (original owner) - LOTS of mods
Toy #2 - 88 Tbird Turbo Coupe - LOTS of mods
02 Pontiac Grand Prix GT
67 Honda 450 Super Sport - completely customized