Last year we took a well packed 24 can Polar Bear Cooler.
Food was frozen individually then vacuum sealed.
We couldn't make the last ferry and stayed the
night in St. Thomas. The Windward Passage kept
our cooler in their freezer for us.
Everything arrived still frozen.
Since you know you're overnighting, I would suggest:

Put your stuff in the freezer for a week or so.
After it's all good and frozen, take it out, vacuum seal all, and
return it to your freezer.
The night before you leave, put everything in a different cooler
and cover with dry ice.
Just before you leave for the airport, discard any remaining
dry ice and pack all in the Polar Cooler
You don't have to pack it all with food but you need to fill the
cooler with something.
Don't open the cooler for any reason until you're ready to unpack
into a freezer or fridge. No peeking.
You should have everything still quite frozen and the vacuum seal
will keep your stuff nice and clean. No Drippy goo.
That's how we do it.

Mike
trying to be the man my dog thinks I am