I think they should get the housemates to put each of their housemates on a scale of their favourite to least favourite in the diary room.
After this is done, Big Brother then has a leaderboard of who is the most popular housemate between them all the way down to the least popular and behind each picture is their letter from home.
Once a housemate discusses nominations, the housemate at the bottom of the leaderboard's letter is destroyed. Kind of similar to the letter task with Speidi where Claire lost her letter.
I hope this made sense