My door damage (see
this thread) was similar. I think repairs are cheaper where I live (Calif near Oregon border), but the estimates I got ranged from $3,200 (fix dents and repaint) to $4600 (replace door and do lots of work). Since the insurance covers all but $1500, I went with the expensive repair.
I almost literally feel your pain, but in the end, it's just money (and a lot of bother). Good luck to you!