If you're worried about the public perception of Objectivism and its adherents, Randsday is a lot more damaging than Checking Premises. (I linked to Harry Binswanger's site because he's the one that originated the idea, not because I think he is damaging. He's one of the best Objectivists out there.)
Personally, the public be damned. I study Objectivism for my own self. Every day is Randsday as far as I'm concerned.