I also wanted to add - if the smell is from the cabinet base under the sink, you can probably replace just the bottom piece of wood.
Whoever "upgraded" my kitchen to pressed wood cabinets is tormenting me until I can re-do my own kitchen. Stinkin' flippers...while the old look may have been dated, I would've preferred whatever funky cabinets were there to the contractor's special I have now. Paint won't even stick to the veneer.
I will say, the Habitat for Humanities ReStore has done wonders for this house. If you ditch your old cabinets, please donate them so someone like me can use them :)