Regarding the dry air, nosebleeds, chapped lips, etc... I've been going to Vegas on a regular basis for over 20 years now, ever since I was about 6 years old, and it happens every time from about March through October, unless there is some sort of freak rain storm and/or humidity. My non-scientific opinion is that over time you body adjusts, but when you fly in from a more humid climate, it really puts the hurt on your skin.
Of course, I also think the blasting AC and everything else contributed as well. I am sure we can work something out with the hotel with that next year.