Such a system should obviously only allow a voter to prove to themselves
that their vote was counted incorrectly. Some part of the secret would have to be retained in the voters memory in such a way that the voter can claim to others that they have voted in any way that they choose.
The goals "voters should be unable to prove their vote to vote-buying politicians/violent gangs" and "voters should have indisputable evidence they can take to the press if their vote has been miscounted" seem fairly contradictory to me.
