The Rum Point Beach Adventure involves far too much traveling for a 1-year old. I recommend doing the Beach Break on your own. If you hire a cab, you can also take a quick drive over to The Turtle Farm before building sand castles on Seven Mile Beach...
We did the Beach Break from DCL. I have DS2 and DS5..the beach worked well for us. There is a bar and grill so you have easy access to refreshment. You get chairs (though I must say we had to search for some) this beach is used by a hotel (Ithink holiday inn) anyway we had a good time and had considered rum point as well.
I also didn't want to worry about transportation. I know alot of people just get cabs but with the children I just wanted it to be easy and taken care of by DCL--IMHO
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