Present you idea and design one, you could use such tools like http://www.favicon.cc/ (no special skills necessary)
And! Vote for the best. (it's the makers choice of course, if they wish so, so it not my person who decides at all)
Be aware that, in the case you save it there that you are able to present it, stick to their conditions as well as it you save it here, if such is possible.
In the case you like to give it to the community here (actually to StackExchange), don't miss to express it consciously. Maybe the team here likes the idea and takes the most voted one. Maybe some would even give it a bounty.
How ever, much joy with your creative answers and generosity. Maybe you like to share even an explaining of how you thoughts have been to make it this or that way and discuss the graphic expression.