Great Stirrup Cay is NCL's private island in Bahamas. This day is simply a beach day with a barbeque/buffet ashore. Except from a few NCL employees and a cat called OP the island is unhabitated.
I know it can be a little noisy if you have a cabin all the way fwd or all the way aft on deck 9. This is because of the galleys for the Royal cafe and the outdoor restaurant.
The least motion of a ship would be amidships and the best views are probably cabins on deck 9.
When it comes to the least busy meal times I'm not sure as I always ate in the officer's mess.