Yesterday I just booked the same week as you (Sun - Fri). We will not actually be there on Easter -- the kids have to be in school the day after Easter and we drive.
We just got back two weeks ago from our first ever Summer HH trip. It was great! Can't wait for the April trip.
I called last Friday (5th) for the week before Easter and we got the studio for Saturday night and then when our friends join us we move to the 2BR. The 2BR was available for for Sunday night, Monday and Tuesday were not available but Wednesday and Thursday were but they could not reserve those nights since it was not consecutive nights available. So we called back on the 8th and Wednesday was not available (Thursday still was). Called back 9th and the Thursday night was not available.
Do I have a chance?? This will be our 4th year in a row going the week before Easter and this is the first time all nights were not available. 
Sorry there was no availability. I would definitely try the wait list. HH is such a bargain in points around Easter compared to the other resorts. It seems it is becoming more popular during this time of year.
We hope to see you because we will also be down there that same week.
I wonder why she said around then??
