CanT speak for your Notary Rules... but in Michigan a Notary can refuse to sign for ANY reason or even NO reason ... just because. Under Federal law which supersedes you would at best be an W-9 and can choose who/when to work. So it is purely your time and money as far as I am concerned... I would be nice and mention smoke free environment only on your marketing as to save yourself time and money.
I have even stopped and ripped up a notary page in the middle of a Immigration signing once because something seemed off all of a sudden and I don't mess around when it comes to ICE and Homeland.