Will requesting a busy week make it more likely it won't be approved? Ahhhh, what would you do?
We were told to give them 3 different dates that were between the months of October-May (no summer months as it's too hot), no school holidays, and no week of any holiday. This, of course, is our wish projects (Montana Hope Project) policy. The travel during no holidays is, I think, a way they can get cheaper flights out of here (MT). So when we were called in September, I gave her 3 dates, first week of December, last week of January, and first week of February. We wanted to go when it's freezing up here. They chose our first choice, December.
Another thing, a popular week may be harder to get into GKTW. Of course not everyone has the same spring break so you probably will be just fine. Our spring break is the first week of April.