I was listening to Tom Waits and it occurred to me the song title could be part of a (wildly unsuccessful) pick up line….
“Would you like to shiver me timbers?”
If this is so (and it is not), then things like “walk the plank” write themselves.
Yaaaaaargh! I’m sure you can do better!
No discussion of this nature would be complete without Key and Peele’s Feminist Pirate Chantey:
“Well, blow me down.”
“You had me hooked at ahoy. Can I return the favor?”
“Arrr! Would ye like to feel me Peg Leg?”
Arrrg, how old ‘r’ya, lass? Old enough to drink a cup of this here grog with a good and loyal friend like Ol’ Pervy?
Sounds like you’re looking for this song…
I was always impressed with Captain Jack Sparrow in Pirates of the Caribbean: Dead Man’s Chest:
“You know, these clothes do not flatter you at all, it should be a dress or nothing. I happen to have no dress in my cabin.”
“I’ve had me eye on you…”
(Hello, T!) 
You bilge-sucking biscuit eater!
I’d like ya to walk me plank. Aaargh!
“Aargh, surrender yer booty to me”
Well, here’s a chanty the pirate recruiters would sing to prospective crew:
“There’s men above and men below and men down in the galley. There’s Butch and Spike and Buzz and Biff and one guy we call Sally!”
Aaargh, would ya like to see me Jolly Roger?
Arrrrgh.
“Wanna see why they call me Long John?”
Batten down the snatch, lass!
Arrr, there be treasure in your chest!
Would y’like to come back to me bunk and see me iPatch?
In case you haven’t seen this (why, yes, that IS William Marshall):
