You're lucky on the color. Gloss white is one of the cheaper colors to have blended. If your car was metallic, they'd have to paint all the way into the doors to get a good blend.
I think parts & labor with your connections, you should be able to get this done for under a grand. That leaves you with a $1,200 fee for the hassle.
When my wife got hit, the other guy's insurance wouldn't write ME a check. I could take it wherever I wanted, and the insurance covered everything 100% - but they would not give me the check.