This might sound a bit wacky but i reckon it might work.
When the housemates nominate i think it would be a good twist if they take it in turns to go into the Diary room and they have to nominate two housemates in secret and give full reasons for their nominations.
Then and this is a wild idea the two (or more) housemates with the most nominations have to face a public vote to decide which one gets evicted.
They could even have a cool tagline something like "WHO GOES YOU DECIDE"