There is an idea called Three-Ballot for physical ballots with receipts. Maybe the value of 3B is more educational than practical, here it is: You vote yes or no in a referendum (also works for approving or disapproving a candidate in an approval-voting election). You vote with three ballots. If you want to vote yes, you vote yes twice and no once. If you want to vote no, you vote no twice and yes once. The ballots all have IDs, you select a copy of one of the filled out ballots to take home. All the filled out ballots and their IDs get published. You can check the ballot you got a copy of wasn't tempered with. It is not possible to prove whether you voted yes or no in effect, since everybody voted yes and no at least once.
If there is some device in the voting station tracking which ballots are getting copied and which are not, this doesn't work. But the whole copying procedure can be very simple and mechanical.
So… did reading this inspire you in some way?