If there was more than one Illinois, would they be called Illinoises or Illinoi?

Off the top of my head, I can't think of a word in English that ends with "is" while being singular, only plurals and uncountables come to mind, so I can't really follow the examples of other words. What makes it even weirder, I'm not sure how to pronounce Illinoises... Would it be as written, or as if an Illinois was pronounced by someone who has never encountered it before? Illinoi are also meh, since now plural looks as a singular and the other way round.