I think the problem here is an embarrassment of riches. How many hundreds of chanteys are there? Just about any sea song with lines that repeat in each verse ("Go down, you blood-red roses," "Yo ho, blow the man down," "Carry him long, John, carry him long," "Yo ho ho and a bottle of rum," and so on) are heave-away songs.

Myself, I like to use "Haul Away, Joe" as the tune for Kipling's "We have fed our sea for a thousand years" section from "Song of the Dead."