I've been to Hawai'i a dozen times, and it just doesn't work that way for time switches of a few hours. I might try to stay up a bit the first night, but I'm "sleeping in" until 4:30 am. (Which would be 8:30 am in the midwest.)
That being said, when I return, I usually take the red eye, which means that at best I get a couple hours of snoozing, so I'm completely wiped when I arrive home mid afternoon. If I can manage to stay up until mid evening, it's a hard reset that typically resets my body clock.
So someone from Europe who takes a Caribbean cruise... well, that's a 5-6 hours time shift and you might as well bite the bullet and adjust to the new time zone. Someone from the central or mountain time zone who normally gets up at 6 am...why mess with it? Stay on your home time, eat late...and you can still get up at 8 am to do activities on the cruise.