Well it will most likely come out better if your insurance company pays the bill, and if not then atleast it will be easier.
But you should get some private quotes first...even if its not cheaper, it saves getting bad insurance history (more money down the line) & you wont have to involve the police in it (its drift damage right? )
When I had a smash (only really affected the bonnet), I ended up getting it fixed for less than what it would have cost me to make a claim...and I didnt have to make a police report which was good as the smash was caused by me being stupid.
The way I did it was to ring around some "performance" panel beaters...you know the ones that only deal with tripped out paint jobs, huge wings & cars that ride 1cm above the ground.
They usualy have left over bonnets & front gaurds laying around as ppl have put carbon fibre ones on or something & left their old one.
May not work out, but if you havent claimed yet - might be worth looking into