Yes, they do have rice dream there, and I'm sure they'd be able to swap it out.
Just a warning though, that bread pudding has a lot of dairy in it. Here's a recipe of it that I found online:
5 eggs
3 cups whole milk
1/2 tsp salt
1/2 tsp nutmeg
1 1/2 cup sugar
8 cups french or 'Ohana breakfast bread
1. In bowl mix eggs, milk , salt, sugar and nutmeg. Set aside.
2. Cut bread in medium pieces, place on cookie sheet pan put in 350 degree oven.
3. Bake bread until lightly toasted, about 15 minutes. Remove bread and place in egg and milk mixture.
4. Place mixture in a greased 10-inch cake pan and bake at 325 degree for 1 hour.
5. Let stand 5 minutes, serve hot with ice cream.
BANANA FOSTER SAUCE
4 oz sugar
4 oz brown sugar
4 oz corn syrup
4 oz unsalted butter
1cup heavy cream
1 tsp vanilla extract
1cup spiced rum
1cup banana slices
Hope that helps and best of luck on your trip!