I've considered whether it would be a good system to give voters a certain number of votes greater than 1, say 10, which they can allocate to candidates as they

I've considered whether it would be a good system to give voters a certain number of votes greater than 1, say 10, which they can allocate to candidates as they see fit, say 7 for candidate A, 2 for B, 1 for C. Votes would be summed for each candidate and a weighted random selection of candidate would be made.