In fact, if you are convinced that is IS a wrongful arrest, you may legally resist arrest, tell the officer, and he is supposed to let you present evidence of your innocence. However, it doesn't HAVE to be claimed at the time of arrest.
I was curious in OP's case because of the "no charges filed and case rejected for lack of any evidence at all" line. It seems to me, that would be enough reason to claim wrongful arrest and at least get compensation for the bail bond.