I like the list except for the fact that it is very limited.
My favorite rum cocktail that an experienced tiki bartender would have no trouble making would be either a Ti Punch or a Dark and Stormy.
My absolute favorite rum cocktail is the one that I co-invented - the Navy Cross
Of the ones you listed in your poll, I'd probably choose the Daiquiri, but I prefer the Papa Doble version, if that counts.