Long ago, I had this idea that it would be a nice to have political parties (in India where I'm from), pitch multiple candidates for a certain post. And the people can vote for whom they want for each party. This would (ideally) give us the best people in each party for that constituency.
After that, the actual representative is selected by a lottery from these people.
My thought was that the parties can't really fight each other. They are forced to pick the best candidate amongst themselves and during the fight, the competition will be intra party. People can select whom they want. The final decision will be random but among people who who the public likes so that will be okay too. The incentives seems to align in a way that beneficial for the public.
However, it'd be complicated to run and probably expensive too so I'm not sure it'd be practical.