Is your car insured by you? You will most likely be working through your insurance company but the at fault driver's insurance should ultimately be paying for all the repairs or replacement of your car. Was it in good shape, low mileage, special equipment, etc? Push them hard to find another car of the same year, make/model with similar mileage or less and actually available to buy, including shipping of that car to you if required. That is the settlement you should get and you should not have to pay your deductible, the at fault party should be liable for that. You don't have to accept their offer right away and you don't have to accept the Blue Book value if that is what they are offering. I recently did that on my car that was rear-ended and since it was "old" and high mileage they totaled it as would be expected. I worked with my insurance company to establish the value and they collected that from the at fault party. I had just put new tires on it and they added that into the value. He told me how they arrived at the value and what cars where used to make the comparison. In this case they will be going after the at fault party so they may be more inclined to act in your behalf, but then again maybe not. Be firm but polite. You get more flies with honey.
Keep in mind that if you "buy back" your totalled car from the insurance company it will have a salvage or rebuilt title and its value will be significantly reduced. You may not be able to get it insured (check with your insurance company on that matter.) Of course, what I have noted will buy you a cup of coffee at a Starbucks so take it for what it is worth.
