I don't know if it will actually play out like that. Every urea -> cyanate prep I have seen intimately mixes the alkali metal compound (usually carbonate, bicarbonate is better due to lower water affinity) with urea while dry, then carefully heats to fusion.
Why not use a prep from Inorganic Syntheses or any of many other highly similar inorganic books? They're well documented and use even cheaper materials than what you've proposed.
Edit: I guess I should say you are better off searching for "potassium cyanate" preparation on e.g. Google Books and then substitute an appropriate sodium compound if you really need sodium cyanate. Most preps seem to be for the potassium compound, possibly because of historical reasons or the solubility of the potassium salt.
Here is a book from the SM library that contains explicit preps for both the potassium and sodium compounds.