I have to disagree with Larry here. The full coverage stuff only applies if you are at fault or your bike was stolen, or you or your bike was hit by an unknown or uninsured party.
Because that isn't the case here, you should be able to get your bike made whole without too much hassle. Because you were hurt, you should get a lawyer. While you might have to pay upfront, their costs can be made part of the claim, and because you have a lawyer, you can let them dicker about the repairs as well. Extra transportation, missed work, etc are all things that should be compensated for.
Good luck, and I hope you are riding again soon!
