[Bondonutz]

I've ben in the automotive repair field for over 25yrs, My suggestion to you is ASAP get 4-5 estimates from reputable shops and give him 3 of the most expensive ones and take the money and get it repaired at a shop that is willing to do it a little cheaper and still give the qaulity. That way you can put the few extra bucks in your pocket for your aggrevation,inconveinence and wasted time.
If you insist on going through the insurance Co's your insurance rates will increase also even though it wasn't your fault let alone sitting in the car when it happened. They get ya back for the extra paperwork you made !
If you get with a good shop they should be able to order the bumper cover ahead of time and provide a 1 day service if lucky ?

Pictures never do things like this any justice but it looks like a very easy repair, maybe you can get them to write for a replacemnt and have it repaired. With the bumper material being semi rigid plastic the indentation will pop right back out and only need a samll amount of filler to accomplish a smooth ready to painte surface and all will be well. SOmthing to consider ?