If you have a room with a balcony, you'll do great, otherwise you will have to go outside on an open deck and DX.
All this "cruise" DXing was done once in the early 80's (Caribbean), then the rest from 2009 - 2014.
I DXed in the past on trips to The Carribean, Panama Canel, Alaska, Europe leaving from Florida and the South Pacific leaving from LA.
I brought a good radio and had a ball.
In the Caribbean I easily heard NYC at night, Chicago, etc. We had an inside room on this cruise, so I'd go to the top deck and DX at night.
A guy was walking at night with his lady friend and saw me "playing with the radio on top deck". He "kind of pushed" his lady friend aside and came over to me and said - what are you doing? I asked him, where you from, he said Chicago . . . I quickly tuned in 890 WLS he couldn't believe it . . . we talked abit, he Thanked me, and he went back to his lady friend!!!
Rest of our cruises we had rooms with a balcony.
Panama Canel was great with lots of Mexico, Central America, Northern South America, etc. to Florida stuff.
When in Fairbanks, Alaska (on a land tour, from ship) in a hotel at night it was still light outside, I asked the front desk if it ever "starts" to get dark . . . they said yes, around 1AM-1:30AM. I set my alarm for 1:30AM (my wife did her best to ignore me) brought radio outside and set it to 810 KGO and sure enough as it got "alittle dark" they started to come in but by 1:30AM they were gone.
Heard when WWKB 1520 disappeared heading east over Atlantic Ocean one night, noted where I finally started to hear (good),1521 in Saudi Arabia on the Atlantic Ocean.
Heading to South Pacific I heard 1350 KSRO (5kw Santa Rosa, CA. ) during the day far out, it had to be 200 miles off Los Angeles . . . this surprised me. They were loud????
In South Pacific Islands area, I heard Australia, New Zealand at night. Plus U.S., Mexico, South America and Japan.
I forget others I heard but it was fun!!!
One day (on South Pacific cruise) I had a SW radio too, that was tuned to 20 meters and USB (Upper Sideband) I heard a LOUD SIGNAL !!!!!!!!!! going all over the dial, I had to get off balcony and move into our room and get radio (under the bedsprings !!!!) to get signal level down . . . got a call letter . . .
l looked ham call up on my computer . . . then called ships front desk. I had the guys first and last name . . . I asked if there was somebody on the ship with that name . . . yes there was, got their room phone number and they transferred me to the room.
The guy was operating near the front of the ship (same side I was on) and he said "look up the side from your balcony" I have a 20meter wipe off the side railing. Sure, enough I saw it!!!
He had to get permission to operate from cruise line weeks before cruise departed and operate with no more than 25 watts, ship rules.
I met him & his wife later, along with my wife we talked face to face for hours as well as other days as the cruise went on.
HAVE FUN ON YOUR CRUISE, AND TRY TO BRING A GOOD AM / FM RADIO. SPARE BATTERIES TOO, IF THEY ARE NOT A COMMOM TYPE.