Well, if the town won't fess up, then the police report should be a hit and run and you should be able to tell your insurance carrier that you can't identify the at fault party, so your uninsured motorist coverage should kick in. It might reduce your deductible, or limit the amount of increase on your premiums since it isn't "your fault" the claim was filed. You are still going to have a premium increase because the claim was filed, but it might be less than usual.
Unless you have State Farm, then yer rekt.