I could be wrong, but when even TripAdvisor considers it a 4 star hotel, it's tough to defend as a 5 star luxury property, I think. That precludes the Algonquin, Saint, and Bohemian. But thanks for suggesting them!

The Sortis and Mauna Kea are 4.5 stars by even TripAdvisor, so they have potential to be considered, at least.

Again, there are very good hotels...and then are 5 star luxury hotels. It will obviously be subjective!