Pedantry corner: Communism's goal is to achieve a communist society, which is defined by being stateless. In a true communist society there would be no need for elections nor government. Now, how to actually get there... is where people disagree, especially anarchists and marxists.
Back on topic, I think the electoral system Cuba and Vietnam use are already a better starting point. There are no parties (parties are allowed to exist but they don't run in elections, not even the Communist Party), every candidate is independent and they cannot self-nomimate or be placed by someone higher-up, they must be nominated by their community, and everyone gets an equal opportunity to run their campaign.
