Got it. But good luck finding dates
By got it, do you mean that you got the e-mail with code, and went to their website, and requested the 3 Hyatt Properties and...they denied you all three options?
My understanding is that one good strategy is to pick one property you really want, make sure the dates are available, list that as choice 1, and then for choices 2 and 3, intentionally list properties with dates not avaiable, so they're forced to give you choice #1. (and then I guess it's still possible to change date/place later, but I haven't gotten that far yet.)