Yes, you can. I do.
#11 in June...hello, new lanyard! And free Palo, so recent price increase won't affect me.
OP, you've already gotten all the good advice, tips, etc. So I don't have much to add.
I never get off the ship in Nassau. Especially on a 3-nighter, your time is better spent on the Dream (so aptly named!) Use the day to play a round of mini-golf on Goofy 's Sports Deck, see a movie if there's a current or recent Disney release you haven't seen or want to see again. Now that Palo brunch is offered in Nassau day, do that, although it's adults only do you'd have to send the kids to the club. On embarkation day, after lunch and before the ship leaves port, adults can tour the kids clubs. A must if you want to.pilot the Milennium Falcon
For your first cruise, I 'd do all three rotational restaurants since you can get Palo brunch. That way you'll experience most of the dining (just leaves out Remy)
Check your navigator for the tour of the ship, it's called The Art of the Theme of something like that. Definitely worth your time, they give you the backstory on lots of the little details.
Make sure to visit Skyline Lounge. It's one of my favorite spots on the Dream. Trivia contests are fun and there are families and adult only ones. Prizes! No prizes for Midship Detective Agency, but it's a fun way to tour the ship.
There may be some classes at the gym that require a fee, but there are plenty that are free. There 's a nice early am stretching class that I like to attend before doing my laps around Deck 4.
As.to.the shows, I haven't been on the Dream since BatB debuted, but make sure to see The Golden Mickeys. Any ladies in your party will enjoy the Tarzan segment.