Is it possible to give us the ability to change icons? Give free players a small choice, and get the choices larger for logged in players, larger still for paying players and maybe have the ability to upload an icon for those who are at the highest tier. You could also have icons available for points you earn for playing and for purchase as a micro-transaction.
admin edit: this thread now contains all suggestions about editing and customizing player's icons. For Removing/Hiding the Hats, upvote this one: https://colonist.featureupvote.com/suggestions/112873/removehide-the-hats