I should note also that I was permitted to check in pretty early -- around 9 or 10 am as I recall. And I perceived absolutely no difference staying there on an award booking than a "regular" guest, or for having a baby with us.
(The front desk agent did note that generally they don't allow 2+child in a Park Queen, but because our kid was so young they allowed it. I got the impression that a crib would be OK but a rollaway would not.)