Here's what I think it should be like:
We keep the 7 man senate. They come together and decide the suspects, vote, write their paragraphs, etc. However, we award votes to the top x number of players on the ladder, and they just do a simple bold vote. They would need 8 (or more/less) of these to get the TC badge. In addition to this, the senate has the final say in the vote, and will use the opinions of the non-senate members to decide what to do. Like last round, the senate members would need to get 1350 (1300 sounds reasonable) at any point in the round to maintain their spot. Members on the senate would get the TC badge for being on a council and have taken part in a vote.