When I turned my sole proprietorship in NYC into an LLC, I researched this rule extensively, and came to the conclusion that you can safely ignore it. I believe the law is silent on actual consequences of publishing the notices later when you supposedly need it (for legal purposes). IANAL.

It's a bet, but a pretty safe bet. After all, opening a small business is already betting with your time and money. Just add this decision to the risk and forget about it. I'd rather bet the $1000 towards an endeavor with more potential upside.