As an "Electrician" you would be hard pressed to find me touching duct work, picking location or anything else other than powering the fan fastened in place prior to my arrival....
Anyway, I too would see it as a laundry related piece of equipment and would (as I have many times without incident*) on the laundry circuit, hard wired or cord and plug.
210.52F "(F) Laundry Areas" Doesn't say what can or can not be on it - just that there be at least one receptical, and on a 20A circuit.
(*only on installs with electric dryer - where gas, with the possiblity of both washer and dryer used at same time, I use a different circuit. Even though the load of these things is really minimal.)
(edit:reapeating myself.... Bzzzzt.)