I think your own suggestion was very good already.
"Blindfoldedly drawing something"
If it shall be crypto-inspired, you could turn that "blindfoldedly drawing something" into "blindfoldedly drawing a simple yet creative image with the Steemit Logo integrated in it".
There already are very creative Steemit Logo ideas with whales in it ( the animal not Steemit whales 😃), yet the blindfolded factor might bring some fun into it. On top of that, the Steemit Logo is very pregnant and simple, and many spontaneous ideas could arise out of it. As a rule, you could set a time threshold of 2-3 minutes for the drawing to get that fun factor of spontaneousness into it. This time, you might not have a Google image reverse search option, but well, trust the user!
What about origami?
Cute idea, but I don't know what exactly to do then? Tinker an animal or what? :)