Maybe you could do a block tallying with verification scheme.
1. Enter your vote and receive an identifier
2. Group n identifiers into a batch ensuring not all votes in the batch are for the same candidate. Record the n identifiers into a block then randomly order the identifiers but don’t record the randomized sort order. Display the index of their identifier to each user but don’t record it. Record the actual vote in this (random) order to the block. Allow each voter to see all votes recorded in the block at each location (including the one only they know represents their vote). Allow the voter to manually tally the block to ensure the sum of symbols reflects their vote intent. Present to each voter cryptographic proof of the existence of the block and the net affect the block as a whole has on the vote tally for each candidate.
Each voter leaves with:
1. cryptographic proof of having voted
2. Cryptographic verification of the effect their vote had on vote tally
3. Ability to claim having voted for any candidate represented in their voting block/inability to prove to others who they voted for while being sure of how their vote was counted themselves.
1. Enter your vote and receive an identifier
2. Group n identifiers into a batch ensuring not all votes in the batch are for the same candidate. Record the n identifiers into a block then randomly order the identifiers but don’t record the randomized sort order. Display the index of their identifier to each user but don’t record it. Record the actual vote in this (random) order to the block. Allow each voter to see all votes recorded in the block at each location (including the one only they know represents their vote). Allow the voter to manually tally the block to ensure the sum of symbols reflects their vote intent. Present to each voter cryptographic proof of the existence of the block and the net affect the block as a whole has on the vote tally for each candidate.
Each voter leaves with:
1. cryptographic proof of having voted
2. Cryptographic verification of the effect their vote had on vote tally
3. Ability to claim having voted for any candidate represented in their voting block/inability to prove to others who they voted for while being sure of how their vote was counted themselves.