If the showscore option is compiled in, allow the player to see the high score list and where they currently stand relative to the top entries or the entries around their current score.

When selecting top-10 names from the high score list (for player monster statues, etc), continue looking down the list until 10 unique player names have been found, rather than choosing from the top 10 scorers. So if the top 10 scorers are cluttered up with the same player in multiple runs, there will still be some name diversity.

Doppelgangers that transform into player monsters may adopt a name from the top 10 list when they do so (but not always). When they transform into something else, they discard the name.