Your loss may be covered under the Uninsured Motorist portion of your policy. That's the coverage that pays when you've been hit by someone without insurance, or are the victim of a hit and run. Your policy may outline what is required for the loss to be considered "hit and run" and they may be suspicious of a claim like yours if it wasn't witnessed, reported to the police, or immediately reported to them.
If you don't have Uninsured Motorist coverage, then you really don't have any other options without knowing who hit you. It's worth adding Uninsured Motorist to your insurance for next time.
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