You did not say what state it is titled in. You did not say if it was a single vehicle accident. You did not say if you have already had it looked at by the claims adjustor.
I will put myself in your situation, in Texas where I live, and tell you how I would do it:
I would tell the insurance agent up front I already have the repair skills and experience to repair it myself with professional fitting and welding services, and it will be far less costly to the insurer than a total write-off.
I would park the car at a first-rate body repair shop, talk things over with their manager first, and then invite the adjuster and claims agent to come have a look at the car, and I have a repair pro on-hand to simplify the discussion.
After I got approval to rebuild the car, I would have it put on an auto-body frame alignment machine, and measured for how bad the post is bent between the doors, and how bad the frame is bent right behind the rear door. That procedure would set me back about $300 and would tell me exactly how far out of line the body/frame (its a unibody = body and frame is the same piece of prefab contruction) is around the doors, and what I need to do to make it drive straight, and make the new doors open and shut and stay shut in another accident. From looking at the photo, the B-pillar between the doors is bent, but will not require a cutout, only a straightening with hydraulic force while being electrically heated. Not sure about the area right behind the rear door. I dont' ask for this frame alignment check in a state of ignorance. I can read the data and the data does not lie, so I cannot get lied to by a body shop. That information would cost you a pizza.
Next I go on eBay automotive, and about 2 dozen forums and search sites and collect info on the same year make and model and COLOR car from all over the USA. I spend probably 3 days looking, making phone calls, asking about parts, and asking what I can get them shipped for. You car is very common, there will be hundreds already off the road somewhere to choose from.
I then go (get the doors, the front fender, and the windows - and all the hardware that attaches and fits those pieces. The window lifts and the door locks, the door mounting shim pieces, the door latch components, the wire harnesses and connectors inside the doors) I go over the doors especially inside the doors and check what works, what is bent, what I can re-use from my old doors., inside and under the front fender where the plastic clips usually get broken on impact, I might need those too.
When I am done buying the doors and windows, and I have all the wiring and locks and hardware transferred into them from the old doors, I take the new doors already put completely together with the car to the shop that is going to straighten my frame, and let them go to town on it until the doors are set up right on the car, and everything is working right. Then I call the insurer and give them an exact rundown on the costs and what the final bill is looking like.
I am guessing from recent experiences I would have both doors, the fender, the windows and all the hardware I wanted from a parts car of the exact same color for $600 all-in. I would assemble the doors and install the front fender myself, I would drill and pull out the dents behind the rear door myself, and I would grind, sand, Bondo and apply primer and sealer to that area behind the rear door myself, Then I would let the frame shop straighten the B-pillar and mount the doors for something like another $500. Including the frame measurement up-front, I'm guestimating it would run up to about $1550 to do everything except the repainting of the spots that were not pretty enough. I might live with that for a year or so before getting a repaint done, and only use the closest matching spray paint and clear acrylic I could find until then.
If I had to get those prices down, I could trade stuff for the doors and windows and fender, I could haggle more, I could keep looking and travel further and I could get those prices down.
I also have the skills to buy a parts car same year-model-color and strip off all of its other parts and list them on eBay and sell them off.
I wrecked a Jeep grand Cherokee, rolled it, and rebuilt it myself- involving most of what was described above for your car, only lots more parts. Bought a totaled Jeep same color, same body, and got all my parts from it, Paid $1600 for the totaled Jeep, and over the next year, I sold the seats, interior carpets, steering column and locks as a set, transmission, front axle and wheel hubs, dashboard, complete rear drive-train, the wheels and tires, the stereo, and the rear hatch. I made more than $3000 from all of those parts I sold off on eBay. A good deal of my own work, and I paid for the repair and repainting of my own Grand Cherokee and even turned a profit.
Good luck. Hope I gave you some Ideas..