If tis is not your last trip, and your hair dryer is really old and you have to use a converter, why not get a dual voltage hair dryer. These are available in travel stores, but on line Amazon or Drugstore.com may be cheaper--Some drug stores like Walgreens, CVS have them also. I've had mine for over 20 years.
We took your trip in 2008, but don't remember if all the hotels had hair dryers. Like the previous post, you could google the hotels. That's where I find a lot of info before we go.